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.

A001994 Expansion of 1/((1-x^2)*(1-x^4)^2*(1-x^6)*(1-x^8)*(1-x^10)) (even powers only).

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%I A001994 M2348 N0927 #27 Jul 02 2025 16:01:54
%S A001994 1,1,3,4,8,11,18,24,36,47,66,84,113,141,183,225,284,344,425,508,617,
%T A001994 729,872,1020,1205,1397,1632,1877,2172,2480,2846,3228,3677,4146,4691,
%U A001994 5261,5917,6603,7386,8205,9133,10103,11195,12336,13613,14947,16431,17981,19697
%N A001994 Expansion of 1/((1-x^2)*(1-x^4)^2*(1-x^6)*(1-x^8)*(1-x^10)) (even powers only).
%D A001994 A. Cayley, Calculation of the minimum N.G.F. of the binary seventhic, Collected Mathematical Papers. Vols. 1-13, Cambridge Univ. Press, London, 1889-1897, Vol. 10, p. 408-419.
%D A001994 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A001994 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A001994 T. D. Noe, <a href="/A001994/b001994.txt">Table of n, a(n) for n = 0..1000</a>
%H A001994 A. Cayley, <a href="/A001993/a001993.pdf">Calculation of the minimum N.G.F. of the binary seventhic</a>, Collected Mathematical Papers. Vols. 1-13, Cambridge Univ. Press, London, 1889-1897, Vol. 10, p. 408-419. [Annotated scanned copy]
%H A001994 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (9, -33, 63, -66, 36, -8).
%t A001994 nn = 202; t = CoefficientList[Series[1/((1 - x^2)*(1 - x^4)^2*(1 - x^6)*(1 - x^8)*(1 - x^10)), {x, 0, nn}], x]; t = Take[t, {1, nn, 2}]
%Y A001994 Cf. A001996.
%K A001994 nonn,easy
%O A001994 0,3
%A A001994 _N. J. A. Sloane_
%E A001994 More terms from _James Sellers_, Feb 09 2000