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

Author

Paul Curtz, Mar 15 2010

Keywords

• frac
• sign
• easy

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.

Crossrefs

Cf. A174276 (denominators), A174289.

Programs

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