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A176618 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. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

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).

LINKS

Table of n, a(n) for n=0..26.

MAPLE

read("transforms") ;

evb := [0, 1, 0, seq(bernoulli(n), n=2..50)] ;

ievb := BINOMIALi(evb) ;

apply(numer, %) ;

CROSSREFS

Sequence in context: A128361 A096481 A335363 * A153653 A065643 A038031

Adjacent sequences:  A176615 A176616 A176617 * A176619 A176620 A176621

KEYWORD

frac,sign

AUTHOR

Paul Curtz, Apr 22 2010

STATUS

approved

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Last modified April 20 13:26 EDT 2021. Contains 343135 sequences. (Running on oeis4.)