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A001849
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Crystal ball sequence for 7-dimensional cubic lattice.
(Formerly M4979 N2139)
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6
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1, 15, 113, 575, 2241, 7183, 19825, 48639, 108545, 224143, 433905, 795455, 1392065, 2340495, 3800305, 5984767, 9173505, 13726991, 20103025, 28875327, 40754369, 56610575, 77500017, 104692735, 139703809, 184327311, 240673265, 311207743, 398796225, 506750351
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 81.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
R. G. Stanton and D. D. Cowan, Note on a "square" functional equation, SIAM Rev., 12 (1970), 277-279.
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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 (Abstract, pdf, ps).
S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
Index entries for crystal ball sequences
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FORMULA
| G.f.: (1+x)^7 /(1-x)^8.
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MAPLE
| A001849:=(z+1)**7/(z-1)**8; [Conjectured by S. Plouffe in his 1992 dissertation.]
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MATHEMATICA
| CoefficientList[Series[(z + 1)^7/(z - 1)^8, {z, 0, 200}], z] (* From Vladimir Joseph Stephan Orlovsky, Jun 19 2011 *)
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CROSSREFS
| Cf. A001848, A001849.
Sequence in context: A105040 A105051 A110822 * A115150 A115138 A092317
Adjacent sequences: A001846 A001847 A001848 * A001850 A001851 A001852
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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