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Search: id:A100594
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| A100594 |
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Floor of Pi^(2*n)/Zeta(2*n). |
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+0
1
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| 6, 90, 945, 9450, 93555, 924041, 9121612, 90030844, 888579011, 8769948429, 86555983552, 854273468992, 8431341566236, 83214006759229, 821289329637860, 8105800788023426, 80001047145799660, 789578687036411293
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(1)=6 because Zeta(2*1)=Pi^2/6 implies Pi^2/Zeta(2)=6 and floor(6)=6
a(6)=924041 because Zeta(2*6)=691/638512875*Pi^12 implies Pi^12/Zeta(12)=638512875/691 and floor(638512875/691)=924041
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MAPLE
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seq(simplify(floor(Pi^(2*k)/Zeta(2*k))), k=1..24);
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PROGRAM
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(PARI) {a(n)=if(n<1, 0, floor(-2*(2*n)!/(-4)^n/bernfrac(2*n)))} /* Michael Somos Feb 18 2007 */
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CROSSREFS
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Cf. A002432, A046988.
Sequence in context: A121249 A113404 A121607 this_sequence A002432 A091800 A037959
Adjacent sequences: A100591 A100592 A100593 this_sequence A100595 A100596 A100597
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KEYWORD
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nonn
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AUTHOR
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Joseph Biberstine (jrbibers(AT)indiana.edu), Nov 30 2004
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