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A303851 Number of pairs (lambda,mu) of partitions lambda of n and mu of floor(n/2) with mu <= lambda (by diagram containment). 4
1, 1, 2, 3, 8, 12, 23, 35, 70, 105, 178, 262, 479, 690, 1119, 1590, 2687, 3756, 5960, 8221, 13203, 17994, 27728, 37363, 58293, 77767, 117084, 154747, 234579, 307400, 455637, 592377, 878603, 1134126, 1652382, 2118344, 3089769, 3936532, 5654741, 7161970 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..200

Eric Weisstein's World of Mathematics, Ferrers Diagram

Wikipedia, Ferrers diagram

FORMULA

a(n) = A259478(n,floor(n/2)).

CROSSREFS

Bisections give: A303861 (even part), A303862 (odd part).

Cf. A259478.

Sequence in context: A249367 A257999 A115449 * A218542 A194452 A242516

Adjacent sequences:  A303848 A303849 A303850 * A303852 A303853 A303854

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 01 2018

STATUS

approved

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Last modified September 19 14:36 EDT 2020. Contains 337178 sequences. (Running on oeis4.)