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A303863 Number of pairs (lambda,mu) of partitions lambda of 2n+1 and mu of n+1 with mu <= lambda (by diagram containment). 3
1, 4, 13, 42, 114, 313, 759, 1858, 4207, 9468, 20198, 42955, 87333, 176706, 346450, 673619, 1276936, 2404288, 4429895, 8105634, 14576610, 26017631, 45767924, 79970030, 137934105, 236375455, 400667547, 674818625, 1125626097, 1866565406, 3068368925, 5015847315 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..100

Eric Weisstein's World of Mathematics, Ferrers Diagram

Wikipedia, Ferrers diagram

FORMULA

a(n) = A259478(2n+1,n+1) = A303852(2n+1).

CROSSREFS

Bisection (odd part) of A303852.

Cf. A259478.

Sequence in context: A121654 A186202 A036366 * A255836 A109454 A307261

Adjacent sequences:  A303860 A303861 A303862 * A303864 A303865 A303866

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 01 2018

STATUS

approved

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Last modified September 28 17:43 EDT 2020. Contains 337393 sequences. (Running on oeis4.)