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A143698
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12 times hexagonal numbers: 12*n*(2*n-1).
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3
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0, 12, 72, 180, 336, 540, 792, 1092, 1440, 1836, 2280, 2772, 3312, 3900, 4536, 5220, 5952, 6732, 7560, 8436, 9360, 10332, 11352, 12420, 13536, 14700, 15912, 17172, 18480, 19836, 21240, 22692, 24192, 25740, 27336, 28980, 30672, 32412
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OFFSET
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0,2
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COMMENTS
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Sequence found by reading the line from 0, in the direction 0, 12,..., in the square spiral whose vertices are the generalized tetradecagonal numbers A195818. - Omar E. Pol, Oct 02 2011
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LINKS
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FORMULA
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G.f.: 12*x*(1 + 3*x)/(1-x)^3.
E.g.f.: 12*x*(1 + 2*x)*exp(x). (End)
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MAPLE
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MATHEMATICA
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Table[24n^2-12n, {n, 0, 40}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 12, 72}, 40] (* Harvey P. Dale, Sep 24 2015 *)
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PROG
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(Sage) [12*n*(2*n-1) for n in (0..40)] # G. C. Greubel, May 30 2021
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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