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

Author

Paolo P. Lava, Mar 01 2018

Keywords

• nonn
• easy
• cons

Comments

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

Examples

			-1.01820187236017492411688041456815909107182671212122508411026262872703094440...
		

Crossrefs

Cf. A000367, A002445.

Programs

Maple

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

PARI

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

Formula

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