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A083008 a(n)=sum(k=0,n-1,4^k*B(k)*C(n,k)) where B(k) is the k-th Bernoulli number and C(n,k)=binomial(n,k). +0
2
0, 1, -3, 3, 9, -25, -99, 427, 2193, -12465, -79515, 555731, 4247577, -35135945, -313193811, 2990414715, 30461046561, -329655706465, -3777604994187, 45692713833379, 581778811909545, -7777794952988025, -108933009112011843, 1595024111042171723, 24370176181315498929 (list; graph; listen)
OFFSET

1,3

PROGRAM

(PARI) a(n)=sum(k=0, n-1, 4^k*binomial(n, k)*bernfrac(k))

CROSSREFS

Cf. A001469.

Bisection is A009843.

Sequence in context: A099094 A007683 A059728 this_sequence A117976 A010098 A029857

Adjacent sequences: A083005 A083006 A083007 this_sequence A083009 A083010 A083011

KEYWORD

sign

AUTHOR

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

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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