A003414 - OEIS

A003414

a(n) = floor( Bernoulli(2*n)/(-4*n) ).

-1, 0, -1, 0, -1, 0, -1, 0, -2, 13, -141, 1803, -27414, 487468, -10026348, 236192433, -6317862398, 190439655626, -6425425249653, 241207241774250, -10020155328258127, 458387180159766538, -22989944171828251746, 1259023596072554784854, -75008667460769643668558

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OFFSET

1,9

REFERENCES

F. Hirzebruch et al., Manifolds and Modular Forms, Vieweg, 2nd ed. 1994, p. 130.

D. 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

Index entries for sequences related to Bernoulli numbers.

EXAMPLE

a(10) = 13 because the 20th (2 * 10) Bernoulli number is -174611/330, and that divided by (-4) * 10 is approximately 13.2281.

MATHEMATICA

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

CROSSREFS

Cf. A000367/A002445.

Sequence in context: A349291 A318003 A143137 * A003326 A207493 A003581

Adjacent sequences: A003411 A003412 A003413 * A003415 A003416 A003417

KEYWORD

sign

AUTHOR

N. J. A. Sloane

STATUS

approved