A295442 a(n) = (18*n)!*(5*n)!*(3*n)!/((10*n)!*(9*n)!*(6*n)!*n!).

1, 4862, 65132550, 987291797996, 15789207515217990, 260227401685879140612, 4372592850984736084611996, 74468439316740019538310543000, 1280895791499708481382281179968070, 22200471460266930185258813786107130900, 387105235604016899402464538876438270501300

Offset: 0

Author

Gheorghe Coserea, Nov 23 2017

Keywords

• nonn

Crossrefs

Cf. A295431.

Programs

Mathematica

f[n_] := (18n)! (5n)! (3n)!/((10n)! (9n)! (6n)! n!); Array[f, 11, 0] (* or *)CoefficientList[ Series[ HypergeometricPFQ[{1/18, 5/18, 7/18, 11/18, 13/18, 17/18}, {1/10, 3/10, 1/2, 7/10, 9/10}, 57395628/3125 x], {x, 0, 10}], x] (* Robert G. Wilson v, Nov 23 2017 *)

Formula

G.f.: hypergeom([1/18, 5/18, 7/18, 11/18, 13/18, 17/18], [1/10, 3/10, 1/2, 7/10, 9/10], 57395628/3125*x).

a(n) ~ 2^(2*n-1) * 3^(15*n) / (5^(5*n) * sqrt(Pi*n)). - Vaclav Kotesovec, Jul 11 2025