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A035712 Coordination sequence for 17-dimensional cubic lattice. 1
1, 34, 578, 6562, 56066, 385186, 2220098, 11058466, 48663554, 192441122, 693230658, 2300164770, 7094825730, 20501991330, 55871829570, 144411206178, 355761664002, 838944980514, 1900906442306, 4152257037218, 8769652761346, 17955289409186, 35721495233602 (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 Colin Barker)

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 (17, -136, 680, -2380, 6188, -12376, 19448, -24310, 24310, -19448, 12376, -6188, 2380, -680, 136, -17, 1).

FORMULA

G.f.: ((1+x)/(1-x))^17.

a(n) = (2*(638512875 + 4851868680*n^2 + 4215249348*n^4 + 1045091320*n^6 + 99734206*n^8 + 4181320*n^10 + 80444*n^12 + 680*n^14 + 2*n^16)) / 638512875 for n>0. - Colin Barker, Apr 20 2017

n*a(n) = 34*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 20 2018

PROG

(PARI) Vec(((1+x)/(1-x))^17 + O(x^30)) \\ Colin Barker, Apr 20 2017

CROSSREFS

Sequence in context: A330412 A089938 A126924 * A302955 A161647 A161991

Adjacent sequences:  A035709 A035710 A035711 * A035713 A035714 A035715

KEYWORD

nonn,easy

AUTHOR

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

EXTENSIONS

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

STATUS

approved

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Last modified January 27 15:45 EST 2022. Contains 350607 sequences. (Running on oeis4.)