A036070 Expansion of (-1+1/(1-4*x)^4)/(16*x); related to A038846.

1, 10, 80, 560, 3584, 21504, 122880, 675840, 3604480, 18743296, 95420416, 477102080, 2348810240, 11408506880, 54760833024, 260113956864, 1224065679360, 5712306503680, 26456998543360, 121702193299456

Offset: 0

Author

Wolfdieter Lang

Keywords

• easy
• nonn

Links

• W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.
• Index entries for linear recurrences with constant coefficients, signature (16, -96, 256, -256).

Crossrefs

Cf. A038846, A001787. a(n)= A030526(n+1, 1) (first column of triangle).

Formula

a(n) = 4^(n-1)*binomial(n+4, 3); G.f. (-1+(1-4*x)^(-4))/(x*4^2).