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A081142 12th binomial transform of (0,0,1,0,0,0,......). +0
3
0, 0, 1, 36, 864, 17280, 311040, 5225472, 83607552, 1289945088, 19349176320, 283787919360, 4086546038784, 57954652913664, 811365140791296, 11234286564802560, 154070215745863680, 2095354934143746048 (list; graph; listen)
OFFSET

0,4

COMMENT

Starting at 1, the three-fold convolution of A001021 (powers of 12).

FORMULA

a(n)=36a(n-1)-432a(n-2)+1728a(n-3), a(0)=a(1)=0, a(2)=1. a(n)=12^(n-2)C(n, 2). G.f. x^2/(1-12x)^3.

CROSSREFS

Cf. A081141.

Adjacent sequences: A081139 A081140 A081141 this_sequence A081143 A081144 A081145

Sequence in context: A028108 A001457 A004360 this_sequence A061694 A122038 A001812

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 08 2003

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Last modified October 15 09:18 EDT 2008. Contains 145015 sequences.


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