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.

A055855 Convolution of A055854 with A011782.

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%I A055855 #10 Sep 08 2022 08:45:01
%S A055855 0,1,10,64,328,1462,5908,22180,78592,265729,864146,2719028,8316200,
%T A055855 24814832,72453344,207502016,584094080,1618757120,4423347200,
%U A055855 11932579840,31812874240,83901227008,219074805760,566754967552
%N A055855 Convolution of A055854 with A011782.
%C A055855 Tenth column of triangle A055587.
%C A055855 T(n,8) of array T as in A049600.
%H A055855 G. C. Greubel, <a href="/A055855/b055855.txt">Table of n, a(n) for n = 0..1000</a>
%H A055855 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (18,-144,672,-2016,4032,-5376,4608,-2304,512).
%F A055855 a(n) = T(n, 8) = A055587(n+8, 9).
%F A055855 G.f.: x*(1-x)^8/(1-2*x)^9.
%p A055855 seq(coeff(series(x*(1-x)^8/(1-2*x)^9, x, n+1), x, n), n = 0..30); # _G. C. Greubel_, Jan 16 2020
%t A055855 CoefficientList[Series[x*(1-x)^8/(1-2*x)^9, {x,0,30}], x] (* _G. C. Greubel_, Jan 16 2020 *)
%o A055855 (PARI) my(x='x+O('x^30)); concat([0], Vec(x*(1-x)^8/(1-2*x)^9)) \\ _G. C. Greubel_, Jan 16 2020
%o A055855 (Magma) R<x>:=PowerSeriesRing(Integers(), 30); [0] cat Coefficients(R!( x*(1-x)^8/(1-2*x)^9 )); // _G. C. Greubel_, Jan 16 2020
%o A055855 (Sage)
%o A055855 def A055855_list(prec):
%o A055855     P.<x> = PowerSeriesRing(ZZ, prec)
%o A055855     return P( x*(1-x)^8/(1-2*x)^9 ).list()
%o A055855 A055855_list(30) # _G. C. Greubel_, Jan 16 2020
%Y A055855 Cf. A011782, A049600, A055584, A055857.
%K A055855 nonn,easy
%O A055855 0,3
%A A055855 _Wolfdieter Lang_ May 30 2000