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

Author

Barry E. Williams, Jun 03 2000

Keywords

• easy
• nonn

References

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

Links

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

Crossrefs

Cf. A054487.

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

Programs

Mathematica

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

PARI

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

Formula

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