A055848 Expansion of (1+5*x)/(1-x)^10.

1, 15, 105, 495, 1815, 5577, 15015, 36465, 81510, 170170, 335478, 629850, 1133730, 1967070, 3304290, 5393454, 8580495, 13339425, 20309575, 30341025, 44549505, 64382175, 91695825, 128849175, 178811100, 245286756, 332863740, 447180580

Offset

0,2

References

A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.

Links

Table of n, a(n) for n=0..27.

Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

Formula

a(n)=(2n+3)*C(n+8, 8)/3. G.f.(x)=(1+5x)/(1-x)^10.

Mathematica

Table[(2n+3)Binomial[n+8, 8]/3, {n, 0, 30}] (* Harvey P. Dale, Aug 20 2011 *)

Prog

(PARI) Vec((1+5*x)/(1-x)^10 + O(x^100)) \\ Altug Alkan, Mar 13 2016

Crossrefs

Cf. A054487.

Cf. A093563 ((6, 1) Pascal, column m=9). Partial sums of A054487.

Sequence in context: A022610 A006857 A000478 * A202493 A200852 A266503

Adjacent sequences: A055845 A055846 A055847 * A055849 A055850 A055851

Keyword

easy,nonn

Author

Barry E. Williams, Jun 03 2000

Status

approved