A300220 Decimal expansion of the sum of the reciprocal of the Bernoulli numbers with even index (negated).

1, 0, 1, 8, 2, 0, 1, 8, 7, 2, 3, 6, 0, 1, 7, 4, 9, 2, 4, 1, 1, 6, 8, 8, 0, 4, 1, 4, 5, 6, 8, 1, 5, 9, 0, 9, 1, 0, 7, 1, 8, 2, 6, 7, 1, 2, 1, 2, 1, 2, 2, 5, 0, 8, 4, 1, 1, 0, 2, 6, 2, 6, 2, 8, 7, 2, 7, 0, 3, 0, 9, 4, 4, 4, 0, 8, 6, 7, 9, 9, 0, 0, 3, 2, 5, 3, 5, 0

Offset

1,4

Comments

If also the reciprocal of B_{1}=-1/2 is added we have -3 instead of -1 as integer part of the constant.

Links

Table of n, a(n) for n=1..88.

Formula

Equals Sum_{k>=0} A002445(k)/A000367(k).

Example

-1.01820187236017492411688041456815909107182671212122508411026262872703094440...

Maple

evalf(add(1/bernoulli(2*k), k=0..1000), 500);

Prog

(PARI) suminf(k=0, 1/bernfrac(2*k)) \\ Michel Marcus, Mar 06 2018

Crossrefs

Cf. A000367, A002445.

Sequence in context: A221758 A322699 A209244 * A338851 A021850 A197576

Adjacent sequences: A300217 A300218 A300219 * A300221 A300222 A300223

Keyword

nonn,easy,cons

Author

Paolo P. Lava, Mar 01 2018

Status

approved