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 A006954 Denominators of Bernoulli numbers B_0, B_1, B_2, B_4, B_6, ... (Formerly M1689 N0667) 19
 1, 2, 6, 30, 42, 30, 66, 2730, 6, 510, 798, 330, 138, 2730, 6, 870, 14322, 510, 6, 1919190, 6, 13530, 1806, 690, 282, 46410, 66, 1590, 798, 870, 354, 56786730, 6, 510, 64722, 30, 4686, 140100870, 6, 30, 3318, 230010, 498, 3404310, 6, 61410, 272118, 1410, 6, 4501770 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS These are the denominators if you hurriedly look down a list of the nonzero Bernoulli numbers without noticing that B_1 has been included. From the von Staudt-Clausen theorem, denominator(B_2n) = product of primes p such that (p-1)|2n. REFERENCES M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 260. 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. N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy]. M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 260. Y. Puri and T. Ward, Arithmetic and growth of periodic orbits, J. Integer Seqs., Vol. 4 (2001), #01.2.1. FORMULA E.g.f: t/(e^t - 1). MATHEMATICA Join[{1, 2}, Denominator[BernoulliB[Range[2, 100, 2]]]] (* Harvey P. Dale, Apr 11 2016 *) CROSSREFS Cf. A000367, A002445, A027762. Sequence in context: A324887 A346106 A330326 * A286652 A265501 A090801 Adjacent sequences:  A006951 A006952 A006953 * A006955 A006956 A006957 KEYWORD nonn,frac AUTHOR EXTENSIONS More terms from T. D. Noe, Mar 31 2004 STATUS approved

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Last modified July 29 22:13 EDT 2021. Contains 346346 sequences. (Running on oeis4.)