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A176618
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The numerator of the n-th term of the inverse binomial transform of the sequence 0, 1, 0, B_2, B_3, B_4, .. of modified Bernoulli numbers.
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3
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0, 1, -2, 19, -14, 199, -137, 851, -548, 4121, -2533, 67451, -40078, 404869, -234967, 1655047, -940136, 32428087, -18383711, 439693871, -235204778, -724823111, 352226881, 260572074487, -130542594044, -6002444699183, 3000757572779
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OFFSET
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0,3
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COMMENTS
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The starting sequence contains the terms A176327(.)/A176591(.) prefixed with a single zero (which occupies the term at index zero), basically 0, 1, 0 followed by the Bernoulli numbers without B_0 and B_1.
Its inverse binomial transform is 0, 1, -2, 19/6, -14/3, 199/30, -137/15, 851/70, -548/35, 4121/210, -2533/105, 67451/2310, -40078/1155, 404869/10010, -234967/5005, 1655047/30030,.. and taking numerators defines the current sequence.
The denominators of the transformed sequence appear to be A172031, checked up to A176618(33).
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LINKS
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MAPLE
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read("transforms") ;
evb := [0, 1, 0, seq(bernoulli(n), n=2..50)] ;
ievb := BINOMIALi(evb) ;
apply(numer, %) ;
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CROSSREFS
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KEYWORD
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frac,sign
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AUTHOR
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STATUS
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approved
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