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A244237
Numerators of the inverse binomial transform of (-1 followed by A164555(n+1)/A027642(n+1)).
0
-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
0,2
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.
FORMULA
(A164555(n+2) - a(n+2))/A027642(n+2)) = (-1)^n*2.
KEYWORD
sign,frac
AUTHOR
Paul Curtz, Jun 23 2014
EXTENSIONS
a(12)-a(37) from Jean-François Alcover
STATUS
approved