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A035707 Coordination sequence for 12-dimensional cubic lattice. 1
1, 24, 288, 2312, 14016, 68664, 284000, 1022760, 3281280, 9545560, 25534368, 63521352, 148321344, 327572856, 688686048, 1385794152, 2681291520, 5008112280, 9060853280, 15926230920, 27266245056, 45570869944, 74501171808 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000 (terms 0..1000 from Muniru A Asiru)

J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).

Joan Serra-Sagrista, Enumeration of lattice points in l_1 norm, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.

Index entries for linear recurrences with constant coefficients, signature (12, -66, 220, -495, 792, -924, 792, -495, 220, -66, 12, -1).

FORMULA

G.f.: ((1+x)/(1-x))^12.

n*a(n) = 24*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 19 2018

MAPLE

c:=12: seq(coeff(series(((1+x)/(1-x))^c, x, n+1), x, n), n=0..30); # Muniru A Asiru, Jul 01 2018

MATHEMATICA

CoefficientList[Series[((1+x)/(1-x))^12, {x, 0, 20}], x] (* Harvey P. Dale, Jun 21 2011 *)

CROSSREFS

Cf. A035749.

Sequence in context: A055754 A297082 A282154 * A035475 A288458 A042110

Adjacent sequences:  A035704 A035705 A035706 * A035708 A035709 A035710

KEYWORD

nonn,easy

AUTHOR

Joan Serra-Sagrista (jserra(AT)ccd.uab.es)

EXTENSIONS

Recomputed by N. J. A. Sloane, Nov 25 1998

Formula clarified by Harvey P. Dale, Jun 21 2011

STATUS

approved

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Last modified November 28 01:24 EST 2021. Contains 349396 sequences. (Running on oeis4.)