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.

A099562 Sum C(n-4k,k-1), k=0..floor(n/5).

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%I A099562 #7 Jul 14 2015 18:28:43
%S A099562 0,0,0,0,0,1,1,1,1,1,3,4,5,6,7,11,15,20,26,33,45,60,80,106,139,185,
%T A099562 245,325,431,570,756,1001,1326,1757,2327,3084,4085,5411,7168,9495,
%U A099562 12580,16665,22076,29244,38739,51320,67985,90061,119305,158044,209365
%N A099562 Sum C(n-4k,k-1), k=0..floor(n/5).
%H A099562 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,2,-1,0,0,0,-1).
%F A099562 G.f.: x^5/((1-x^5)(1-x-x^5)); a(n)=a(n-1)+2a(n-5)-a(n-6)-a(n-10).
%t A099562 Table[Sum[Binomial[n-4k,k-1],{k,0,Floor[n/5]}],{n,0,60}] (* or *) LinearRecurrence[{1,0,0,0,2,-1,0,0,0,-1},{0,0,0,0,0,1,1,1,1,1},60] (* _Harvey P. Dale_, Jul 14 2015 *)
%Y A099562 Cf. A075331, A099560, A099561.
%K A099562 easy,nonn
%O A099562 0,11
%A A099562 _Paul Barry_, Oct 22 2004