cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

This page as a plain text file.
%I A055848 #17 Mar 13 2016 16:15:33
%S A055848 1,15,105,495,1815,5577,15015,36465,81510,170170,335478,629850,
%T A055848 1133730,1967070,3304290,5393454,8580495,13339425,20309575,30341025,
%U A055848 44549505,64382175,91695825,128849175,178811100,245286756,332863740,447180580
%N A055848 Expansion of (1+5*x)/(1-x)^10.
%D A055848 A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
%H A055848 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10,-45,120,-210,252,-210,120,-45,10,-1).
%F A055848 a(n)=(2n+3)*C(n+8, 8)/3. G.f.(x)=(1+5x)/(1-x)^10.
%t A055848 Table[(2n+3)Binomial[n+8,8]/3,{n,0,30}] (* _Harvey P. Dale_, Aug 20 2011 *)
%o A055848 (PARI) Vec((1+5*x)/(1-x)^10 + O(x^100)) \\ _Altug Alkan_, Mar 13 2016
%Y A055848 Cf. A054487.
%Y A055848 Cf. A093563 ((6, 1) Pascal, column m=9). Partial sums of A054487.
%K A055848 easy,nonn
%O A055848 0,2
%A A055848 _Barry E. Williams_, Jun 03 2000