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0, 1, 75, 222, 442, 735, 1101, 1540, 2052, 2637, 3295, 4026, 4830, 5707, 6657, 7680, 8776, 9945, 11187, 12502, 13890, 15351, 16885, 18492, 20172, 21925, 23751, 25650, 27622, 29667, 31785, 33976, 36240, 38577, 40987, 43470, 46026, 48655, 51357, 54132, 56980, 59901, 62895, 65962, 69102, 72315, 75601, 78960, 82392, 85897, 89475
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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LINKS
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Daniel Starodubtsev, Table of n, a(n) for n = 0..10000
Index to sequences related to polygonal numbers
Index entries for linear recurrences with constant coefficients, signature (3,-3,1).
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FORMULA
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G.f.: -x*(1+72*x) / (x-1)^3. - R. J. Mathar, Feb 05 2011
a(n) = n*(73*n - 71)/2.
E.g.f.: exp(x)*(x + 73*x^2/2). - Nikolaos Pantelidis, Feb 10 2023
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MAPLE
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A098230 := proc(n) n*(73*n-71)/2 ; end proc:
seq(A098230(n), n=0..20) ; # R. J. Mathar, Feb 04 2011
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PROG
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(Magma) [ n*(73*n - 71)/2: n in [0..50] ]; // Vincenzo Librandi, Feb 04 2011
(PARI) a(n)=n*(73*n-71)/2 \\ Charles R Greathouse IV, Oct 16 2015
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CROSSREFS
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Cf. A051867, A051873.
Sequence in context: A044788 A003503 A201916 * A348489 A258056 A174685
Adjacent sequences: A098227 A098228 A098229 * A098231 A098232 A098233
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KEYWORD
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nonn,easy
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AUTHOR
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Parthasarathy Nambi, Oct 25 2004
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STATUS
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approved
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