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A330643 a(n) is the number of partitions of n with Durfee square of size <= 5. 2

%I #13 Jan 01 2020 15:20:28

%S 1,1,2,3,5,7,11,15,22,30,42,56,77,101,135,176,231,297,385,490,627,792,

%T 1002,1255,1575,1958,2436,3010,3718,4565,5604,6842,8349,10143,12310,

%U 14883,17976,21635,26010,31175,37318,44547,53109,63153,74996,88850,105113,124078,146256,172032,202056,236844

%N a(n) is the number of partitions of n with Durfee square of size <= 5.

%F a(n) = A000041(n), 0 <= n <= 35.

%F a(n) = A330642(n), 0 <= n <= 24.

%F a(n) = A330642(n) + A117487(n-24), n >= 25.

%F a(n) = n + A006918(n-3) + A117485(n) + A117486(n-16) + A117487(n-24), n >= 25.

%Y Cf. A000041, A006918, A008805, A028310, A115994, A115720, A117485, A117486, A117487, A330640, A330641, A330642.

%K nonn

%O 0,3

%A _Omar E. Pol_, Dec 24 2019

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Last modified April 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)