A218904 Sum of the sizes of the kernels of all integer partitions of n.

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

Offset: 1

Author

Olivier Gérard, Nov 08 2012

Keywords

• nonn

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.

Extensions

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