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Search: id:A027444
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| 0, 3, 14, 39, 84, 155, 258, 399, 584, 819, 1110, 1463, 1884, 2379, 2954, 3615, 4368, 5219, 6174, 7239, 8420, 9723, 11154, 12719, 14424, 16275, 18278, 20439, 22764, 25259, 27930, 30783, 33824, 37059, 40494, 44135, 47988, 52059, 56354
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets
Eric Weisstein's World of Mathematics, Magic Circle [From Eric W. Weisstein (eric(AT)weisstein.com), Feb 06 2009]
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FORMULA
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O.g.f.: x*(3+2*x+x^2)/(-1+x)^4 . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 04 2008
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EXAMPLE
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For n = 4, 4^3 + 4^2 + 4 = 64 + 16 + 4 = 84
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MAPLE
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a:=n->sum(1+sum(1+sum(1, j=1..n), j=1..n), j=1..n):seq(a(n), n=0..38); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 06 2008]
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MATHEMATICA
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lst={}; Do[AppendTo[lst, n^3+n^2+n], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 20 2008]
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CROSSREFS
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Sequence in context: A141129 A143941 A162147 this_sequence A000263 A102590 A034130
Adjacent sequences: A027441 A027442 A027443 this_sequence A027445 A027446 A027447
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KEYWORD
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nonn,easy
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AUTHOR
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Patrick De Geest (pdg(AT)worldofnumbers.com), Mark Milhet (mm992395(AT)shellus.com)
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