

A193872


Even dodecagonal numbers: 4*n*(5*n  2).


3



0, 12, 64, 156, 288, 460, 672, 924, 1216, 1548, 1920, 2332, 2784, 3276, 3808, 4380, 4992, 5644, 6336, 7068, 7840, 8652, 9504, 10396, 11328, 12300, 13312, 14364, 15456, 16588, 17760, 18972, 20224, 21516, 22848, 24220, 25632, 27084, 28576, 30108, 31680
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OFFSET

0,2


COMMENTS

Even 12gonal numbers. Bisection of A051624.


LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (3,3,1).


FORMULA

a(n) = 4*A147874(n+1).
a(n) = 4*n*A016885(n1), n >= 1.


MATHEMATICA

PolygonalNumber[12, 2*Range[0, 40]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jan 02 2017 *)


PROG

(PARI) a(n)=4*n*(5*n2) \\ Charles R Greathouse IV, Jun 17 2017


CROSSREFS

Cf. A016885, A051624, A147874.
Sequence in context: A008425 A154507 A105916 * A258617 A307061 A074359
Adjacent sequences: A193869 A193870 A193871 * A193873 A193874 A193875


KEYWORD

nonn,easy


AUTHOR

Omar E. Pol, Aug 19 2011


STATUS

approved



