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.

A078467 a(n) = a(n-1) + a(n-4); first four terms are 0,1,2,3.

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%I A078467 #14 Jun 13 2015 00:50:49
%S A078467 0,1,2,3,3,4,6,9,12,16,22,31,43,59,81,112,155,214,295,407,562,776,
%T A078467 1071,1478,2040,2816,3887,5365,7405,10221,14108,19473,26878,37099,
%U A078467 51207,70680,97558,134657,185864,256544,354102,488759,674623,931167,1285269
%N A078467 a(n) = a(n-1) + a(n-4); first four terms are 0,1,2,3.
%H A078467 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 0, 1).
%F A078467 a(n) = a(n-1) + a(n-4); a(0)=0, a(1)=1, a(2)=2, a(3)=3
%F A078467 a(n+1)=sum{k=0..n, binomial(n-k, floor(k/3))} - _Paul Barry_, Jul 06 2004
%F A078467 G.f.: x(1+x+x^2)/(1-x-x^4). a(n)=A003269(n)+A003269(n-1)+A003269(n-2). [From _R. J. Mathar_, Nov 25 2008]
%e A078467 The sequence begins 0,1,2,3. a(5) = a(5-1) + a(5-4) = a(4)+a(1)= 3+0 =3. a(6) = a(6-1) + a(6-4) = a(5) + a(2) = 3+1 = 4.
%t A078467 LinearRecurrence[{1,0,0,1},{0,1,2,3},50] (* _Harvey P. Dale_, Oct 08 2012 *)
%Y A078467 Cf. A000045, A003269, A058278.
%K A078467 nonn
%O A078467 0,3
%A A078467 _Arran Fernandez_, Jan 02 2003