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A300220 Decimal expansion of the sum of the reciprocal of the Bernoulli numbers with even index (negated). 1
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 (list; constant; graph; refs; listen; history; text; internal format)
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 * A021850 A197576 A277313

Adjacent sequences:  A300217 A300218 A300219 * A300221 A300222 A300223

KEYWORD

nonn,easy,cons

AUTHOR

Paolo P. Lava, Mar 01 2018

STATUS

approved

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Last modified April 8 14:52 EDT 2020. Contains 333314 sequences. (Running on oeis4.)