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.

A035707 Coordination sequence for 12-dimensional cubic lattice.

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%I A035707 #33 Aug 19 2018 16:26:46
%S A035707 1,24,288,2312,14016,68664,284000,1022760,3281280,9545560,25534368,
%T A035707 63521352,148321344,327572856,688686048,1385794152,2681291520,
%U A035707 5008112280,9060853280,15926230920,27266245056,45570869944,74501171808
%N A035707 Coordination sequence for 12-dimensional cubic lattice.
%H A035707 Seiichi Manyama, <a href="/A035707/b035707.txt">Table of n, a(n) for n = 0..10000</a> (terms 0..1000 from Muniru A Asiru)
%H A035707 J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (<a href="http://neilsloane.com/doc/Me220.pdf">pdf</a>).
%H A035707 Joan Serra-Sagrista, <a href="http://dx.doi.org/10.1016/S0020-0190(00)00119-8">Enumeration of lattice points in l_1 norm</a>, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.
%H A035707 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (12, -66, 220, -495, 792, -924, 792, -495, 220, -66, 12, -1).
%F A035707 G.f.: ((1+x)/(1-x))^12.
%F A035707 n*a(n) = 24*a(n-1) + (n-2)*a(n-2) for n > 1. - _Seiichi Manyama_, Aug 19 2018
%p A035707 c:=12: seq(coeff(series(((1+x)/(1-x))^c, x,n+1),x,n),n=0..30); # _Muniru A Asiru_, Jul 01 2018
%t A035707 CoefficientList[Series[((1+x)/(1-x))^12,{x,0,20}],x] (* _Harvey P. Dale_, Jun 21 2011 *)
%Y A035707 Cf. A035749.
%K A035707 nonn,easy
%O A035707 0,2
%A A035707 Joan Serra-Sagrista (jserra(AT)ccd.uab.es)
%E A035707 Recomputed by _N. J. A. Sloane_, Nov 25 1998
%E A035707 Formula clarified by _Harvey P. Dale_, Jun 21 2011