A244213 -id:A244213 - cp's OEIS frontend

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

Paul Curtz, Jun 23 2014

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.

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

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

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

cp's OEIS Frontend

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

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