A100650 Denominator of 1 - Sum_{i=1..n} Bernoulli(i).
1, 2, 3, 3, 30, 30, 35, 35, 210, 210, 1155, 1155, 10010, 10010, 15015, 15015, 510510, 510510, 1616615, 1616615, 1939938, 1939938, 22309287, 22309287, 74364290, 74364290, 111546435, 111546435, 6469693230, 6469693230, 33426748355, 33426748355, 200560490130, 200560490130
Offset: 0
Examples
1, 3/2, 4/3, 4/3, 41/30, 41/30, 47/35, 47/35, 289/210, 289/210, 1502/1155, 1502/1155, 15551/10010, 15551/10010, 5809/15015, 5809/15015, 3818123/510510, 3818123/510510, ...
Links
- Amiram Eldar, Table of n, a(n) for n = 0..2369
Programs
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Maple
A100650 := proc(n) 1-add( bernoulli(i),i=1..n) ; denom(%) ; end proc: # R. J. Mathar, Jul 01 2011
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Mathematica
Denominator[1-Accumulate[BernoulliB[Range[0,40]]]] (* Harvey P. Dale, Feb 19 2015 *)
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PARI
a(n) = denominator(1 - sum(i=1, n, bernfrac(i))); \\ Michel Marcus, Feb 15 2021