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.

A061183 One-fourth of the fourth (m=3) column of triangle A060921 (bisection of Fibonacci triangle, odd part).

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%I A061183 #7 Jun 17 2022 15:20:20
%S A061183 1,10,64,331,1505,6272,24540,91527,328768,1145650,3893630,12958400,
%T A061183 42364427,136389128,433263360,1360269093,4226523495,13011186624,
%U A061183 39722775806,120366164765,362255552384,1083513943700
%N A061183 One-fourth of the fourth (m=3) column of triangle A060921 (bisection of Fibonacci triangle, odd part).
%C A061183 Numerator polynomial of g.f. is (1/4) * Sum_{m=0..3} A061177(3,m)*x^m.
%H A061183 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (12, -58, 144, -195, 144, -58, 12, -1).
%F A061183 a(n) = A060921(n+3, 3)/4.
%F A061183 G.f.: ((1-x^3)-2*(x-x^2))/(1-3*x+x^2)^4.
%t A061183 CoefficientList[Series[((1-x^3)-2(x-x^2))/(1-3x+x^2)^4,{x,0,30}],x] (* or *) LinearRecurrence[{12,-58,144,-195,144,-58,12,-1},{1,10,64,331,1505,6272,24540,91527},30] (* _Harvey P. Dale_, Jun 17 2022 *)
%Y A061183 Cf. A060921, A061177, A061182.
%K A061183 nonn,easy
%O A061183 0,2
%A A061183 _Wolfdieter Lang_, Apr 20 2001