A174290 Numerators of the inverse binomial transform of the sequence of nonzero Bernoulli numbers.

1, -3, 13, -91, 291, -1187, 18017, -114949, 122399, -27857449, 118047751, -18228890369, 594111334397, -17200311140979, 773613644762857, -398027494487496919, 7730820144185428909, -6072430940814524211839

Offset

0,2

Comments

The sequence of nonzero Bernoulli numbers is B(0), B(1), B(2), B(4), B(6) etc. Its inverse Bernoulli transform is 1, -3/2, 13/6, -91/30, 291/70, -1187/210, 18017/2310,... The current sequence is defined by extracting the numerators.

Links

Table of n, a(n) for n=0..17.

Maple

read("transforms") ;
A174290 := proc(n) [1, -1/2, seq(bernoulli(2*i), i=1..30)] ; BINOMIALi(%) ; numer(op(n+1, %)) ; end proc:
seq(A174290(n), n=0..30) ; # R. J. Mathar, Jan 21 2011

Crossrefs

Cf. A174276 (denominators), A174289.

Sequence in context: A114477 A345104 A116434 * A034513 A257661 A292501

Adjacent sequences: A174287 A174288 A174289 * A174291 A174292 A174293

Keyword

frac,sign,easy

Author

Paul Curtz, Mar 15 2010

Status

approved