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.

A088013 Binomial transform of A001541 (with interpolated zeros).

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%I A088013 #10 Jan 05 2021 21:35:45
%S A088013 1,1,4,10,36,116,400,1352,4624,15760,53824,183712,627264,2141504,
%T A088013 7311616,24963200,85229824,290992384,993510400,3392055808,11581203456,
%U A088013 39540700160,135000395776,460920178688,1573679927296,5372879343616
%N A088013 Binomial transform of A001541 (with interpolated zeros).
%H A088013 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,0,-8,4).
%F A088013 G.f.: (1-3x+2x^3)/(1-4x+8x^3-4x^4);
%F A088013 e.g.f.: exp(x)cosh(x)cosh(sqrt(2)x);
%F A088013 a(n) = ((sqrt(2))^n + (-sqrt(2))^n + (2+sqrt(2))^n + (2-sqrt(2))^n)/4.
%t A088013 LinearRecurrence[{4,0,-8,4},{1,1,4,10},30] (* _Harvey P. Dale_, Jun 16 2017 *)
%K A088013 easy,nonn
%O A088013 0,3
%A A088013 _Paul Barry_, Sep 18 2003