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 A100652 Denominator of 1 - Sum_{i=1..n} |Bernoulli(i)|. 2
 1, 2, 3, 3, 10, 10, 105, 105, 70, 70, 1155, 1155, 1430, 1430, 2145, 2145, 24310, 24310, 4849845, 4849845, 58786, 58786, 2028117, 2028117, 965770, 965770, 1448655, 1448655, 28007330, 28007330, 100280245065, 100280245065, 66853496710, 66853496710, 100280245065 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Contribution from Paul Curtz, Aug 07 2012 (Start): Take a(0)=1. Then instead of the Akiyama-Tanigawa algorithm we create the extended (or prolonged) Akiyama-Tanigawa algorithm using A028310(n)=1,1,2,3,4,5,... instead of A000027(n)=1,2,3,4,5,.. . Hence the array (A051714 with an additional column) 2,       1,   1/2,   1/3,     1/4, 1,     1/2,   1/3,   1/4,     1/5, 1/2,   1/6,   1/6,   3/20,   2/15,       A026741(n+1)/A045896(n+1) 1/3,     0,  1/30,   1/20,   2/35,       A194531(n)/A193220(n) 1/3, -1/30, -1/30, -3/140, -1/105.       A051722(n)/A051723(n). a(n) is the denominator of the (first) column before the Akiyama-Tanigawa algorithm leading to the second Bernoulli numbers A164555(n)/A027642(n). See A176672(n). (End) LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 EXAMPLE 1, 1/2, 1/3, 1/3, 3/10, 3/10, 29/105, 29/105, 17/70, 17/70, 193/1155, 193/1155, -123/1430, -123/1430, -2687/2145, -2687/2145, -202863/24310, -202863/24310, -307072861/4849845, ... = A100651/A100652. MATHEMATICA Denominator[1-(Accumulate[Abs[BernoulliB[Range[0, 40]]]])] (* Harvey P. Dale, Jan 28 2013 *) CROSSREFS Sequence in context: A110042 A306101 A123027 * A094416 A218868 A329874 Adjacent sequences:  A100649 A100650 A100651 * A100653 A100654 A100655 KEYWORD nonn,frac AUTHOR N. J. A. Sloane, Dec 05 2004 STATUS approved

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Last modified January 25 03:49 EST 2020. Contains 331241 sequences. (Running on oeis4.)