id:A064174 - OEIS Search Results

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Number of partitions of n with nonnegative rank.

+0
7

1, 1, 2, 3, 4, 6, 9, 12, 17, 23, 31, 42, 56, 73, 96, 125, 161, 207, 265, 336, 426, 536, 672, 840, 1046, 1296, 1603, 1975, 2425, 2970, 3628, 4417, 5367, 6503, 7861, 9482, 11412, 13702, 16423, 19642, 23447, 27938, 33231, 39453, 46767, 55342, 65386, 77135 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`The rank of a partition is the largest summand minus the number of summands.`
	FORMULA	`a(n) = (A000041(n)+A047993(n))/2.` `a(n) = p(n-1)-p(n-5)+p(n-12)-... -(-1)^kp(n-(3k^2-k)/2)+..., where p() is A000041(). - Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 04 2004`
	EXAMPLE	`a(20) = p(19)-p(15)+p(8) =490-176+22 = 336.`
	CROSSREFS	`Cf. A063995.` `Cf. A064173.` `Row sums of triangle A105806.` `Sequence in context: A035992 A036003 A027338 this_sequence A062121 A094995 A018591` `Adjacent sequences: A064171 A064172 A064173 this_sequence A064175 A064176 A064177`
	KEYWORD	`nonn`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 20 2001`

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.

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