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A103157
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Number of ways to choose 4 distinct points from an (n+1) X (n+1) X (n+1) lattice cube.
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4
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70, 17550, 635376, 9691375, 88201170, 566685735, 2829877120, 11671285626, 41417124750, 130179173740, 370215608400, 968104633665, 2357084537626, 5396491792125, 11710951848960, 24246290643940, 48151733324310, 92140804597626, 170538695998000, 306294282269955
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OFFSET
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1,1
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).
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FORMULA
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a(n) = binomial((n+1)^3, 4).
G.f.: -x*(x^10 + 317*x^9 + 23193*x^8 + 435669*x^7 + 2747685*x^6 + 6738399*x^5 + 6803373*x^4 + 2780367*x^3 + 412686*x^2 + 16640*x + 70)/(x -1)^13. - Colin Barker, Nov 16 2012
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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