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.

A131846 Expansion of series reversion of x*(1-6*x)/(1-x).

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%I A131846 #26 Apr 20 2017 08:49:59
%S A131846 1,5,55,755,11605,191105,3296755,58810055,1075986505,20079780605,
%T A131846 380733295855,7314056109755,142049912523805,2784519380488505,
%U A131846 55019843803653355,1094695713838691855,21912997682690751505,440999873506064578805,8917597017732200569255
%N A131846 Expansion of series reversion of x*(1-6*x)/(1-x).
%C A131846 The Hankel transform of this sequence is 30^C(n+1,2).
%H A131846 G. C. Greubel, <a href="/A131846/b131846.txt">Table of n, a(n) for n = 1..745</a>
%F A131846 a(n) = Sum_{k=0..n} A086810(n,k)*5^k .
%F A131846 Recurrence: n*a(n) = 11*(2*n-3)*a(n-1) - (n-3)*a(n-2). - _Vaclav Kotesovec_, Aug 20 2013
%F A131846 a(n) ~ sqrt(11*sqrt(30)-60) * (11+2*sqrt(30))^n/(12*sqrt(Pi)*n^(3/2)). - _Vaclav Kotesovec_, Aug 20 2013
%F A131846 From _Ilya Gutkovskiy_, Apr 20 2017: (Start)
%F A131846 G.f.: (1 + x - sqrt(1 - 22*x + x^2))/12.
%F A131846 G.f.: x/(1 - 5*x/(1 - 6*x/(1 - 5*x/(1 - 6*x/(1 - 5*x/(1 - ...)))))), a continued fraction. (End)
%t A131846 Rest[CoefficientList[InverseSeries[Series[x*(1-6*x)/(1-x),{x,0,20}],x],x]] (* _Vaclav Kotesovec_, Aug 20 2013 *)
%o A131846 (PARI) Vec(serreverse(x*(1-6*x)/(1-x)+O(x^66))) /* _Joerg Arndt_, Feb 06 2013 */
%K A131846 nonn
%O A131846 1,2
%A A131846 _Philippe Deléham_, Oct 29 2007
%E A131846 More terms from _Philippe Deléham_, Feb 06 2013
%E A131846 Offset corrected, _Joerg Arndt_, Feb 15 2013