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Search: id:A008413
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| A008413 |
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Coordination sequence for 5-dimensional cubic lattice. |
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+0
3
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| 1, 10, 50, 170, 450, 1002, 1970, 3530, 5890, 9290, 14002, 20330, 28610, 39210, 52530, 69002, 89090, 113290, 142130, 176170, 216002, 262250, 315570, 376650, 446210, 525002, 613810, 713450, 824770
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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If Y_i (i=1,2,3,4,5) are 2-blocks of a (n+5)-set X then a(n-4) is the number of 9-subsets of X intersecting each Y_i (i=1,2,3,4,5). - Milan R. Janjic (agnus(AT)blic.net), Oct 28 2007
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LINKS
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Milan Janjic, Two Enumerative Functions
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).
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FORMULA
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G.f.: ((1+x)/(1-x))^5.
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MAPLE
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4/3*n^4+20/3*n^2+2;
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CROSSREFS
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Adjacent sequences: A008410 A008411 A008412 this_sequence A008414 A008415 A008416
Sequence in context: A102915 A008531 A051230 this_sequence A006542 A086462 A003207
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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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