A246632 Number of solid standard Young tableaux of shape [[7*n,n],[n]].

1, 56, 14014, 4488180, 1600210950, 606021260768, 238569956361984, 96484621769643360, 39804374977976438550, 16673506088758905946560, 7069147910017295001150416, 3026650659542070433624365472, 1306409837754633649293171595680, 567753549048151735754482750312560

Offset: 0

Author

Vaclav Kotesovec, Aug 31 2014

Keywords

• nonn

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..150
• Wikipedia, Young tableau

Crossrefs

Cf. column k=7 of A176129.

Formula

a(n) ~ 3/14*sqrt(3/14*(5*sqrt(105)-33)) * 9^(9*n) / (Pi * n * 7^(7*n)). - Vaclav Kotesovec, Aug 31 2014