A003457 a(n) = ceiling(Bernoulli(2n)/(-4n)).

0, 1, 0, 1, 0, 1, 0, 1, -1, 14, -140, 1804, -27413, 487469, -10026347, 236192434, -6317862397, 190439655627, -6425425249652, 241207241774251, -10020155328258126, 458387180159766539, -22989944171828251745, 1259023596072554784855, -75008667460769643668557

Offset: 1

Author

N. J. A. Sloane

Keywords

• sign

References

• F. Hirzebruch et al., Manifolds and Modular Forms, Vieweg, 2nd ed. 1994, p. 130.
• Douglas C. Ravenel, Complex cobordism theory for number theorists, Lecture Notes in Mathematics, 1326, Springer-Verlag, Berlin-New York, 1988, pp. 123-133.

Links

• T. D. Noe, Table of n, a(n) for n = 1..100
• R. C. Read, On general dissections of a polygon, Preprint (1974)
• Index entries for sequences related to Bernoulli numbers.

Crossrefs

Cf. A003414 (floor instead of ceiling).

Programs

Mathematica

Table[Ceiling[BernoulliB[2n]/(-4n)], {n, 24}] (* Alonso del Arte, Jul 11 2012 *)