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Search: id:A081912
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A081912 6^n(n^2-n+72)/72. +0
3
1, 6, 37, 234, 1512, 9936, 66096, 443232, 2985984, 20155392, 136048896, 917070336, 6167549952, 41358864384, 276451356672, 1841557856256, 12224809598976, 80871817347072, 533189772509184, 3503818505060352, 22952550207062016 (list; graph; listen)
OFFSET

0,2

COMMENT

Binomial transform of A081911 6th binomial transform of (1,0,1,0,0,0,......). Case k=6 where a(n,k)=k^n(n^2-n+2k^2)/(2k^2) with G.f. (1-2kx+(k^2+1)x^2)/(1-kx)^3.

FORMULA

a(n)=6^n(n^2-n+72)/72 G.f. (1-12x+37x^2)/(1-6x)^3

CROSSREFS

Adjacent sequences: A081909 A081910 A081911 this_sequence A081913 A081914 A081915

Sequence in context: A076026 A081570 A122898 this_sequence A081188 A005389 A080954

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 31 2003

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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