A305823 - OEIS

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A305823

Total number of blocks in all set partitions of [n] with alternating parity of elements.

1

0, 1, 3, 8, 20, 53, 136, 383, 1067, 3292, 10162, 34586, 118332, 441898, 1660947, 6745710, 27575425, 120801230, 532530170, 2499230441, 11800052796, 58992236094, 296630364605, 1572128197439, 8378539879636, 46882666240016, 263735138346443, 1552510947814406

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..27.

Wikipedia, Partition of a set

FORMULA

a(n) = Sum_{k=0..n} k * A274581(n,k).

CROSSREFS

Sequence in context: A294407 A295346 A027220 * A333679 A230953 A026995

Adjacent sequences: A305820 A305821 A305822 * A305824 A305825 A305826

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jun 10 2018

STATUS

approved