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Search: id:A007204
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| A007204 |
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Crystal ball sequence for D_4 lattice.
(Formerly M5182)
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+0
4
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| 1, 25, 169, 625, 1681, 3721, 7225, 12769, 21025, 32761, 48841, 70225, 97969, 133225, 177241, 231361, 297025, 375769, 469225, 579121, 707281, 855625, 1026169, 1221025
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Equals binomial transform of [1, 24, 120, 192, 96, 0, 0, 0,...] [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 13 2009]
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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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
Index entries for sequences related to D_4 lattice
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FORMULA
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G.f.: (1+54*x^2+20*x+20*x^3+x^4)/(1-x)^5.
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MAPLE
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(2*n^2+2*n+1)^2;
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CROSSREFS
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Sequence in context: A126493 A080109 A017126 this_sequence A120096 A115330 A145964
Adjacent sequences: A007201 A007202 A007203 this_sequence A007205 A007206 A007207
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com) and J. H. Conway (conway(AT)math.princeton.edu)
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