A321595 Decimal expansion of the sum of the reciprocal of the Genocchi numbers (of first kind) with even index (negated).

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

Offset

0,1

Comments

If also the reciprocal of G(1) = 1 is added we get .7194958582743401212231...

Links

Table of n, a(n) for n=0..87.

Formula

Equals Sum_{k>0} 1/A036968(2*k).

Example

-.28050414170674716801892095479922438557021976395598927505615374848326107452...

Maple

with(numtheory): P:=proc(h) local a, x, k, n; a:=[seq(factorial(n)*coeff(series(2*x/(1+exp(x)), x=0, h+1), x, n), n=1..h)]; print(evalf(add(1/a[2*k], k=1..trunc(h/2)), 200)); end: P(300);

Crossrefs

Cf. A036968, A300220.

Sequence in context: A160584 A191334 A251794 * A336405 A188924 A011055

Adjacent sequences: A321592 A321593 A321594 * A321596 A321597 A321598

Keyword

nonn,cons,easy

Author

Paolo P. Lava, Nov 14 2018

Status

approved