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.

A142155 Expansion of x/( 1+x-x^2-x^4-x^5-x^6-x^7+x^9+x^10 ).

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%I A142155 #21 Feb 16 2025 08:33:08
%S A142155 1,-1,2,-3,6,-9,17,-27,48,-80,139,-233,402,-680,1165,-1979,3382,-5754,
%T A142155 9822,-16727,28531,-48613,82893,-141268,240847,-410505,699808,
%U A142155 -1192838,2033410,-3466085,5908459,-10071512,17168221,-29265017,49885842,-85035890,144953845,-247090156,421194210
%N A142155 Expansion of x/( 1+x-x^2-x^4-x^5-x^6-x^7+x^9+x^10 ).
%C A142155 limit_{n->infinity} a(n+1)/a(n) = -1.70461...
%H A142155 G. C. Greubel, <a href="/A142155/b142155.txt">Table of n, a(n) for n = 1..1000</a>
%H A142155 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (-1,1,0,1,1,1,1,0,-1,-1).
%H A142155 E. W. Weisstein, <a href="https://mathworld.wolfram.com/Polylogarithm.html">Polylogarithm</a>, MathWorld (see the remark concerning Li_17).
%F A142155 Generating function g(x) = x/( 1+x-x^2-x^4-x^5-x^6-x^7+x^9+x^10 ) = 1/(x^10* p(1/x)) with p(x)= 1 +x -x^3 -x^4 -x^5 -x^6 -x^8 +x^9 +x^10.
%t A142155 Rest[CoefficientList[Series[x/(1+x-x^2-x^4-x^5-x^6-x^7+x^9+x^10),{x,0,50}],x]]  (* _Harvey P. Dale_, Mar 03 2011 *)
%o A142155 (PARI) x='x+O('x^50); Vec(x/(1+x-x^2-x^4-x^5-x^6-x^7+x^9+x^10)) \\ _G. C. Greubel_, Mar 05 2017
%Y A142155 Cf. A073011.
%K A142155 sign,easy
%O A142155 1,3
%A A142155 _Roger L. Bagula_ and _Gary W. Adamson_, Sep 15 2008
%E A142155 Definition simplified by the Assoc. Eds. of the OEIS, Jun 30 2010