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A027444 n^3 + n^2 + n. 10
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; refs; listen; history; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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]

FORMULA

O.g.f.: x*(3+2*x+x^2)/(1-x)^4 . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 04 2008

EXAMPLE

For n = 4, 4^3 + 4^2 + 4 = 64 + 16 + 4 = 84

MATHEMATICA

lst={}; Do[AppendTo[lst, n^3+n^2+n], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 20 2008]

PROG

(MAGMA) [n^3 + n^2 + n: n in [0..50]]; // Vincenzo Librandi, Jun 09 2011

CROSSREFS

Sequence in context: A141129 A143941 A162147 * A000263 A102590 A174517

Adjacent sequences:  A027441 A027442 A027443 * A027445 A027446 A027447

KEYWORD

nonn,easy

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com), Mark Milhet (mm992395(AT)shellus.com)

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Last modified February 13 12:17 EST 2012. Contains 205469 sequences.