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Search: id:A037239
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| A037239 |
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Numerator of Pi^(2n)/(GAMMA(2n)*(1-2^(-2n))*Zeta(2n)); = 8*(highest power of 2 dividing n). |
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+0
2
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| 8, 16, 8, 32, 8, 16, 8, 64, 8, 16, 8, 32, 8, 16, 8, 128, 8, 16, 8, 32, 8, 16, 8, 64, 8, 16, 8, 32, 8, 16, 8, 256, 8, 16, 8, 32, 8, 16, 8, 64, 8, 16, 8, 32, 8, 16, 8, 128, 8, 16, 8, 32, 8, 16, 8, 64, 8, 16, 8, 32, 8, 16, 8, 512, 8, 16, 8, 32, 8, 16, 8, 64, 8, 16, 8, 32, 8, 16, 8, 128, 8
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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H. Cohn, Bull. Am. Math. Soc., Sept. 1965, 681ff, esp. p. 688.
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MAPLE
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with(numtheory): for n from 1 to 200 do if n mod 2 = 1 then printf(`%d, `, 8) else printf(`%d, `, 8*2^ifactors(n)[2][1][2]) fi; od:
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PROGRAM
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(PARI) a(n)=if(n<1, 0, 8*2^valuation(n, 2))
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CROSSREFS
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Equals 8*A006519. Denominators given by A002425.
Sequence in context: A073926 A073925 A053321 this_sequence A103699 A040056 A091251
Adjacent sequences: A037236 A037237 A037238 this_sequence A037240 A037241 A037242
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KEYWORD
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nonn,frac,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jun 20 2000
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