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A008413
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Coordination sequence for 5-dimensional cubic lattice.
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2
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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
| 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
| G.f.: ((1+x)/(1-x))^5.
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MAPLE
| 4/3*n^4+20/3*n^2+2;
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CROSSREFS
| Sequence in context: A196507 A008531 A051230 * A006542 A086462 A201830
Adjacent sequences: A008410 A008411 A008412 * A008414 A008415 A008416
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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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