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A330643 a(n) is the number of partitions of n with Durfee square of size <= 5. 1
1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77, 101, 135, 176, 231, 297, 385, 490, 627, 792, 1002, 1255, 1575, 1958, 2436, 3010, 3718, 4565, 5604, 6842, 8349, 10143, 12310, 14883, 17976, 21635, 26010, 31175, 37318, 44547, 53109, 63153, 74996, 88850, 105113, 124078, 146256, 172032, 202056, 236844 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..51.

FORMULA

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

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

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

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

CROSSREFS

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

Sequence in context: A242701 A330642 A092885 * A213598 A000041 A280662

Adjacent sequences:  A330640 A330641 A330642 * A330644 A330645 A330646

KEYWORD

nonn

AUTHOR

Omar E. Pol, Dec 24 2019

STATUS

approved

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Last modified August 15 16:02 EDT 2020. Contains 336505 sequences. (Running on oeis4.)