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.

A084178 Inverse binomial transform of Fibonacci oblongs.

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%I A084178 #9 Nov 24 2020 19:02:21
%S A084178 0,1,0,3,-1,10,-7,35,-36,127,-165,474,-715,1807,-3004,6995,-12393,
%T A084178 27370,-50559,107883,-204820,427351,-826045,1698458,-3321891,6765175,
%U A084178 -13333932,26985675,-53457121,107746282,-214146295,430470899,-857417220,1720537327,-3431847189
%N A084178 Inverse binomial transform of Fibonacci oblongs.
%C A084178 Inverse binomial transform of A001654.
%H A084178 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (-1,3,2).
%F A084178 a(n)=((1/2+sqrt(5)/2)^(n+1)+(1/2-sqrt(5)/2)^(n+1)-(-2)^n)/5;
%F A084178 G.f.: x(1+x)/(1+x-3x^2-2x^3)=x(1-x)/((1+2x)(1-x-x^2)).
%F A084178 a(n) = A084179(n)+A084179(n-1). - _R. J. Mathar_, Dec 10 2014
%t A084178 LinearRecurrence[{-1,3,2},{0,1,0},40] (* _Harvey P. Dale_, Nov 24 2020 *)
%Y A084178 Cf. A000045, A052964, A084179.
%K A084178 easy,sign
%O A084178 0,4
%A A084178 _Paul Barry_, May 18 2003