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0, 3, 20, 63, 144, 275, 468, 735, 1088, 1539, 2100, 2783, 3600, 4563, 5684, 6975, 8448, 10115, 11988, 14079, 16400, 18963, 21780, 24863, 28224, 31875, 35828, 40095, 44688, 49619, 54900, 60543, 66560, 72963, 79764, 86975, 94608, 102675, 111188
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (4,-6,4,-1).
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FORMULA
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G.f.: x*(3+8*x+x^2)/(x-1)^4.
a(n) = A024196(n) - A024196(n-1). - Philippe Deléham, May 07 2012
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MAPLE
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A099721 := proc(n) n^2*(2*n+1) ; end proc:
seq(A099721(n), n=0..10) ;
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MATHEMATICA
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a[n_]:=2*n^3+n^2; ...and/or...Array[ #*(#*(2*#+1))&, 5!, 0] [From Vladimir Joseph Stephan Orlovsky, Dec 21 2008]
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PROG
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(MAGMA) [n^2*(2*n+1): n in [0..50]]; // Vincenzo Librandi, May 01 2011
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CROSSREFS
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Cf. A000578 A066023 A001093 A034262 A071568 A011379 A027444 A053698 A033431 A033562 A061317 A098547.
Sequence in context: A143582 A132404 A062359 * A024402 A183377 A067600
Adjacent sequences: A099718 A099719 A099720 * A099722 A099723 A099724
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KEYWORD
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nonn,easy
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AUTHOR
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Douglas Winston (douglas.winston(AT)srupc.com), Nov 07 2004
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STATUS
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approved
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