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Search: id:A162173
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| A162173 |
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Abs(numerator-denumerator of nth Bernoulli number). |
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+0
3
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| 0, 5, 31, 41, 31, 61, 3421, 1, 4127, 43069, 174941, 854375, 236366821, 8553097, 23749461899, 8615841261683, 7709321041727, 2577687858361, 26315271553055396563, 2929993913841553, 261082718496449135581
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n)=abs(A000367(n)-A002445(n)).
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EXAMPLE
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0(=1-1), 5(=abs(1-6)), 31(=abs(-1-30)), 41(=abs(1-42)), 31(=abs(-1-30)), 61(=abs(5-66), 3421(=abs(-691-2730)), 1(=7-6), 4127(=abs(-3617-510)), etc.
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MAPLE
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A000367 := proc(n) numer(bernoulli(2*n)) ; end: A002445 := proc(n) denom(bernoulli(2*n)) ; end: A162173 := proc(n) abs( A000367(n)-A002445(n)) ; end: seq(A162173(n), n=0..40) ; [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 13 2009]
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CROSSREFS
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Cf. A000367, A002445.
Sequence in context: A052172 A058783 A042837 this_sequence A166306 A027761 A162665
Adjacent sequences: A162170 A162171 A162172 this_sequence A162174 A162175 A162176
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KEYWORD
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nonn
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AUTHOR
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Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jun 27 2009
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EXTENSIONS
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a(13) = 236364091+2730=236366821 corrected by Paul Curtz (bpcrtz(AT)free.fr), Sep 07 2009
a(15) and a(16) corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 13 2009
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