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Search: id:A051226
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| A051226 |
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Bernoulli number B_{n} has denominator 30. |
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+0
2
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| 4, 8, 68, 76, 124, 152, 188, 236, 244, 248, 284, 376, 404, 412, 428, 436, 472, 488, 548, 596, 604, 628, 668, 724, 788, 824, 844, 872, 892, 908, 916, 964, 1028, 1052, 1076, 1084, 1132, 1156, 1208, 1244, 1252, 1256, 1268, 1324, 1336, 1348, 1388
(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<=1388; $n+=4){while($p<$n+1){$p+=2; next if grep$p%$_==0, @p; push@p, $p; push@c, $p-1; }print"$n, "if!grep$n%$_==0, @c; }print"\n"
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CROSSREFS
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Cf. A045979, A051222, A051225-A051230.
Sequence in context: A075787 A086891 A117636 this_sequence A013112 A068208 A090254
Adjacent sequences: A051223 A051224 A051225 this_sequence A051227 A051228 A051229
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KEYWORD
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nonn,nice,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 and Perl program from Hugo van der Sanden (hv(AT)crypt.org)
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