How to solve this PNC problem [on hold]











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Let T(n) denotes the number of non-congruent triangles with integer side lengths and perimeter n .
Thus



T(1)=T(2)=T(3)=T(4)=0
while T(5)= 1
Prove that
(a). T(2006) greater then T(2009)
(b). T(2005)= T(2008)






combinatorics







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put on hold as off-topic by Rebellos, jgon, user10354138, Shailesh, Cesareo yesterday


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Rebellos, jgon, user10354138, Shailesh, Cesareo

If this question can be reworded to fit the rules in the help center, please edit the question.













  • You did not state what was to be proved. Did you mean evaluate $T(2006)$? Also, please show what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering.
    – N. F. Taussig
    yesterday






  • 1




    is this not honsberger theorem?
    – maveric
    yesterday















up vote
0
down vote

favorite












Let T(n) denotes the number of non-congruent triangles with integer side lengths and perimeter n .
Thus



T(1)=T(2)=T(3)=T(4)=0
while T(5)= 1
Prove that
(a). T(2006) greater then T(2009)
(b). T(2005)= T(2008)






combinatorics







share|cite|improve this question















put on hold as off-topic by Rebellos, jgon, user10354138, Shailesh, Cesareo yesterday


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Rebellos, jgon, user10354138, Shailesh, Cesareo

If this question can be reworded to fit the rules in the help center, please edit the question.













  • You did not state what was to be proved. Did you mean evaluate $T(2006)$? Also, please show what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering.
    – N. F. Taussig
    yesterday






  • 1




    is this not honsberger theorem?
    – maveric
    yesterday













up vote
0
down vote

favorite









up vote
0
down vote

favorite











Let T(n) denotes the number of non-congruent triangles with integer side lengths and perimeter n .
Thus



T(1)=T(2)=T(3)=T(4)=0
while T(5)= 1
Prove that
(a). T(2006) greater then T(2009)
(b). T(2005)= T(2008)






combinatorics







share|cite|improve this question















Let T(n) denotes the number of non-congruent triangles with integer side lengths and perimeter n .
Thus



T(1)=T(2)=T(3)=T(4)=0
while T(5)= 1
Prove that
(a). T(2006) greater then T(2009)
(b). T(2005)= T(2008)






combinatorics




combinatorics






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited yesterday

























asked yesterday









Abhinov Singh

723




723




put on hold as off-topic by Rebellos, jgon, user10354138, Shailesh, Cesareo yesterday


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Rebellos, jgon, user10354138, Shailesh, Cesareo

If this question can be reworded to fit the rules in the help center, please edit the question.




put on hold as off-topic by Rebellos, jgon, user10354138, Shailesh, Cesareo yesterday


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Rebellos, jgon, user10354138, Shailesh, Cesareo

If this question can be reworded to fit the rules in the help center, please edit the question.












  • You did not state what was to be proved. Did you mean evaluate $T(2006)$? Also, please show what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering.
    – N. F. Taussig
    yesterday






  • 1




    is this not honsberger theorem?
    – maveric
    yesterday


















  • You did not state what was to be proved. Did you mean evaluate $T(2006)$? Also, please show what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering.
    – N. F. Taussig
    yesterday






  • 1




    is this not honsberger theorem?
    – maveric
    yesterday
















You did not state what was to be proved. Did you mean evaluate $T(2006)$? Also, please show what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering.
– N. F. Taussig
yesterday




You did not state what was to be proved. Did you mean evaluate $T(2006)$? Also, please show what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering.
– N. F. Taussig
yesterday




1




1




is this not honsberger theorem?
– maveric
yesterday




is this not honsberger theorem?
– maveric
yesterday















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