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A008417 Crystal ball sequence for 8-dimensional cubic lattice. 3
1, 17, 145, 833, 3649, 13073, 40081, 108545, 265729, 598417, 1256465, 2485825, 4673345, 8405905, 14546705, 24331777, 39490049, 62390545, 96220561, 145198913, 214828609, 312193553, 446304145, 628496897, 872893441, 1196924561, 1621925137, 2173806145, 2883810113, 3789356689, 4934985233 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

T. D. Noe, Table of n, a(n) for n = 0..1000

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

Index entries for crystal ball sequences

FORMULA

G.f.: (1+x)^8/(1-x)^9.

First differences of A099196(n). - Alexander Adamchuk, May 23 2006

a(n) = (2*n^8 + 8*n^7 + 84*n^6 + 224*n^5 + 798*n^4 + 1232*n^3 + 1636*n^2 + 1056*n + 315)/315. - Alexander Adamchuk, May 23 2006

MATHEMATICA

CoefficientList[Series[-(z + 1)^8/(z - 1)^9, {z, 0, 200}], z] (* Vladimir Joseph Stephan Orlovsky, Jun 19 2011 *)

CROSSREFS

Cf. A001849, A099196.

Partial sums of A008416.

Cf. A240876.

Sequence in context: A304207 A163038 A216422 * A241796 A181908 A233328

Adjacent sequences:  A008414 A008415 A008416 * A008418 A008419 A008420

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Alexander Adamchuk, May 23 2006

STATUS

approved

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Last modified November 22 01:14 EST 2019. Contains 329383 sequences. (Running on oeis4.)