A256671 Numerators of the inverse binomial transform of Bernoulli(n+2).

1, -1, 2, -1, -1, 1, -1, -1, 7, 5, -2663, -691, 1247, 7, -1511, -3617, 1623817, 43867, -10405289, -174611, 21491081, 854513, -2523785339, -236364091, 1827648887, 8553103, -11254630547, -23749461029, 596303510772251, 8615841276005

Offset

0,3

Comments

See the denominators, multiples of 3, A256675(n).

a(n) is the numerator of the n-th term of the first column of the difference table of B(n+2).

Inverse binomial transform of B(n+2): 1/6, -1/6, 2/15, -1/15, -1/105, 1/21, -1/105, -1/15, 7/165, 5/33, ... .

Links

Table of n, a(n) for n=0..29.

Formula

a(2n) = A051720(2n).

a(2n+3) = A164555(2n+4).

Crossrefs

Cf. A256675, A051720, A164555.

Sequence in context: A173636 A115878 A127125 * A327156 A114171 A154243

Adjacent sequences: A256668 A256669 A256670 * A256672 A256673 A256674

Keyword

sign,frac

Author

Paul Curtz, Apr 23 2015

Status

approved