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Search: id:A083007
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A083007 a(n)=sum(k=0,n-1,3^k*B(k)*C(n,k)) where B(k) is the k-th Bernoulli number and C(n,k)=binomial(n,k). +0
1
0, 1, -2, 1, 4, -5, -26, 49, 328, -809, -6710, 20317, 201772, -722813, -8370194, 34607305, 457941136, -2145998417, -31945440878, 167317266613, 2767413231220, -16020403322021, -291473080313162, 1848020950359841, 36679231132772824, -252778977216700025, -5435210060467425446 (list; graph; listen)
OFFSET

0,3

PROGRAM

(PARI) a(n)=sum(k=0, n-1, 3^k*binomial(n, k)*bernfrac(k))

CROSSREFS

Cf. A001469.

Sequence in context: A155944 A091232 A137424 this_sequence A002987 A063872 A033884

Adjacent sequences: A083004 A083005 A083006 this_sequence A083008 A083009 A083010

KEYWORD

sign

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), May 31 2003

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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