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A218904 Sum of the sizes of the kernels of all integer partitions of n. 5
1, 2, 5, 12, 21, 40, 65, 108, 170, 264, 392, 590, 847, 1222, 1720, 2418, 3323, 4574, 6180, 8350, 11124, 14790, 19443, 25532, 33186, 43052, 55418, 71170, 90769, 115542, 146164, 184520, 231743, 290396, 362245, 450950, 559035, 691624, 852583, 1048870, 1286109 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The kernel of an integer partition is the intersection of its Ferrers diagram and of the Ferrers diagram of its conjugate. It includes the Durfee square, which is the largest square fitting into the kernel.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..70

CROSSREFS

Row sums of A218905.

Sequence in context: A244396 A182993 A238741 * A170927 A182201 A106331

Adjacent sequences:  A218901 A218902 A218903 * A218905 A218906 A218907

KEYWORD

nonn

AUTHOR

Olivier Gérard, Nov 08 2012

EXTENSIONS

Extended beyond a(20) by Alois P. Heinz, Nov 08 2012

STATUS

approved

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Last modified September 21 05:25 EDT 2021. Contains 347596 sequences. (Running on oeis4.)