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Search: id:A051225
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| A051225 |
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Bernoulli number B_{2n} has denominator 30. |
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+0
10
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| 2, 4, 34, 38, 62, 76, 94, 118, 122, 124, 142, 188, 202, 206, 214, 218, 236, 244, 274, 298, 302, 314, 334, 362, 394, 412, 422, 436, 446, 454, 458, 482, 514, 526, 538, 542, 566, 578, 604, 622, 626, 628, 634, 662, 668, 674, 694, 698, 706, 722, 724, 734, 758
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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From the Von Staudt-Clausen theorem, denominator(B_2n) = product of primes p such that (p-1)|2n.
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REFERENCES
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B. C. Berndt, Ramanujan's Notebooks Part IV, Springer-Verlag, see p. 75.
G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford Univ. Press, 1979, Th. 118.
H. Rademacher, Topics in Analytic Number Theory, Springer, 1973, Chap. 1.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
Index entries for sequences related to Bernoulli numbers.
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PROGRAM
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(Perl) @p=(2, 3, 5); $p=5; for($n=4; $n<=1516; $n+=4){while($p<$n+1){$p+=2; next if grep$p%$_==0, @p; push@p, $p; push@c, $p-1; }print$n/2, ", "if!grep$n%$_==0, @c; }print"\n"
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CROSSREFS
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Cf. A045979, A051222, A051226-A051230.
Sequence in context: A073888 A114642 A099433 this_sequence A103625 A006989 A132529
Adjacent sequences: A051222 A051223 A051224 this_sequence A051226 A051227 A051228
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KEYWORD
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nonn,nice,easy
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AUTHOR
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njas
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EXTENSIONS
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More terms and Perl program from Hugo van der Sanden (hv(AT)crypt.org)
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