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Search: id:A083559
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A083559 Nearest integer to 1/sum(k>n,1/k^4). +0
1
1, 12, 50, 134, 280, 507, 834, 1277, 1855, 2586, 3489, 4580, 5878, 7401, 9168, 11195, 13501, 16104, 19023, 22274, 25876, 29847, 34206, 38969, 44155, 49782, 55869, 62432, 69490, 77061, 85164, 93815, 103033, 112836, 123243, 134270, 145936 (list; graph; listen)
OFFSET

1,2

FORMULA

n>3 a(n)=floor(3*n^3-9/2*n^2+15/4*n-3/4)

PROGRAM

(PARI) a(n)=round(1/(zeta(4)-sum(k=1, n-1, 1/k^4)))

CROSSREFS

Cf. A001844.

Sequence in context: A009927 A009938 A063491 this_sequence A051797 A115680 A066757

Adjacent sequences: A083556 A083557 A083558 this_sequence A083560 A083561 A083562

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 12 2003

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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