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Search: id:A008417
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| A008417 |
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Crystal ball sequence for 8-dimensional cubic lattice. |
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1
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| 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; listen)
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OFFSET
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0,2
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LINKS
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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 (Abstract, pdf, ps).
Index entries for crystal ball sequences
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FORMULA
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G.f.: (1+x)^8/(1-x)^9.
First differences of A099196(n). - Alexander Adamchuk (alex(AT)kolmogorov.com), 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 (alex(AT)kolmogorov.com), May 23 2006
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CROSSREFS
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Cf. A099196.
Adjacent sequences: A008414 A008415 A008416 this_sequence A008418 A008419 A008420
Sequence in context: A120784 A099922 A142815 this_sequence A083294 A064102 A139617
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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EXTENSIONS
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More terms from Alexander Adamchuk (alex(AT)kolmogorov.com), May 23 2006
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