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Search: id:A124135
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A124135 a(n)=((-1)^n/6)*sum_{i1+i2+i3+i4=2n} ((2*n)!/(i1! i2! i3! i4!))*B(i1+i2+i3) where B are the Bernoulli numbers. +0
1
0, 0, 3, 46, 1041, 32592, 1375919, 75858738, 5309829837, 460680712084, 48552875077995, 6111752613274230, 905772678574995593, 156116663818415074776, 30964395850928510817831 (list; graph; listen)
OFFSET

1,3

FORMULA

a(n)=(-1)^(n+1)*{ (9^n/4-4^n+3/4)*B(2n)+1/6}

PROGRAM

(PARI) a(n)=(-1)^(n+1)*((9^n/4-4^n+3/4)*bernfrac(2*n)+1/6)

CROSSREFS

Sequence in context: A037105 A059624 A119401 this_sequence A000576 A128109 A159246

Adjacent sequences: A124132 A124133 A124134 this_sequence A124136 A124137 A124138

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 30 2006

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.


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