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Number of solid standard Young tableaux of shape [[7*n,n],[n]].
2

%I #6 Feb 08 2017 20:36:07

%S 1,56,14014,4488180,1600210950,606021260768,238569956361984,

%T 96484621769643360,39804374977976438550,16673506088758905946560,

%U 7069147910017295001150416,3026650659542070433624365472,1306409837754633649293171595680,567753549048151735754482750312560

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

%H Vaclav Kotesovec, <a href="/A246632/b246632.txt">Table of n, a(n) for n = 0..150</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Young_tableau">Young tableau</a>

%F a(n) ~ 3/14*sqrt(3/14*(5*sqrt(105)-33)) * 9^(9*n) / (Pi * n * 7^(7*n)). - _Vaclav Kotesovec_, Aug 31 2014

%Y Cf. column k=7 of A176129.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, Aug 31 2014