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2, 18, 52, 110, 198, 322, 488, 702, 970, 1298, 1692, 2158, 2702, 3330, 4048, 4862, 5778, 6802, 7940, 9198, 10582, 12098, 13752, 15550, 17498, 19602, 21868, 24302, 26910, 29698, 32672, 35838, 39202, 42770, 46548, 50542, 54758, 59202, 63880
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) = n^3 + 6*n^2 + 9*n + 2.
G.f.: 2*(1 + 5*x - 4*x^2 + x^3)/(1-x)^4. - Colin Barker, Jan 10 2012
E.g.f.: (2 + 16*x + 9*x^2 + x^3)*exp(x). - G. C. Greubel, Nov 29 2018
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MAPLE
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MATHEMATICA
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Table[n^3 + 6 n^2 + 9 n + 2, {n, 0, 40}] (* Bruno Berselli, Jan 10 2015 *)
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PROG
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(PARI) vector(40, n, n--; n^3+6*n^2+9*n+2) \\ G. C. Greubel, Nov 29 2018
(Sage) [(n^3+6*n^2+9*n+2) for n in range(40)] # G. C. Greubel, Nov 29 2018
(GAP) List([0..40], n -> n^3+6*n^2+9*n+2); # G. C. Greubel, Nov 29 2018
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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