A244237 Numerators of the inverse binomial transform of (-1 followed by A164555(n+1)/A027642(n+1)).

-1, 3, -11, 2, -61, 2, -83, 2, -61, 2, -127, 2, -6151, 2, -5, 2, -4637, 2, 42271, 2, -175241, 2, 854237, 2, -236369551, 2, 8553091, 2, -23749462769, 2, 8615841247361, 2, -7709321042237, 2, 2577687858355, 2, -26315271553057315753, 2

Offset: 0

Author

Paul Curtz, Jun 23 2014

Keywords

• sign
• frac

Comments

See A244213. (The binomial transform of A198631(n)/A006519(n+1) is A143074(n)/A006519(n+1)).

Difference table of -1 followed by A164555(n+1)/A027642(n+1), see A190339:

-1, 1/2, 1/6, 0, -1/30, 0, 1/42, 0,...

3/2, -1/3, -1/6, -1/30, 1/30, 1/42, -1/42,...

-11/6, 1/6, 2/15, 1/15, -1/105, -1/21,...

2, -1/30, -1/15, -8/105, -4/105,...

-61/30, -1/30, -1/105, 4/105,...

2, 1/42, 1/21,...

-83/42, 1/42,...

2,...

etc.

The corresponding denominators to a(n) are A027642(n). See A085738.

From the second Bernoulli numbers.

Crossrefs

Cf. A190339, A235774, A244213, A085738, A164555, A027642, A143074, A006519.

Formula

(A164555(n+2) - a(n+2))/A027642(n+2) = (-1)^n*2.

Extensions

a(12)-a(37) from Jean-François Alcover