A246635 Number of solid standard Young tableaux of shape [[10*n,n],[n]].

1, 110, 52630, 32050452, 21695031326, 15588534391688, 11639131492660980, 8926158067633260480, 6982075699637390684782, 5544869068478382127856796, 4456728497956906393963534248, 3617239034515121761037837277200, 2959687584848274006351647631119940

Offset: 0

Author

Vaclav Kotesovec, Aug 31 2014

Keywords

• nonn

Comments

In general, column k of A176129 is (for k > 1) asymptotic to sqrt((k+2)*(k^2-20*k-8+sqrt(k*(k+8)^3))/(8*k^3)) * ((k+2)^(k+2)/k^k)^n / (Pi*n). - Vaclav Kotesovec, Aug 31 2014

Links

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

Crossrefs

Cf. Column k=10 of A176129.

Formula

a(n) ~ (9*sqrt((-1 + sqrt(5))/5))/10 * 12^(12*n) / (Pi * n * 10^(10*n)). - Vaclav Kotesovec, Aug 31 2014