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

Author

Paolo P. Lava, Nov 14 2018

Keywords

• nonn
• cons
• easy

Comments

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

Examples

			-.28050414170674716801892095479922438557021976395598927505615374848326107452...
		

Crossrefs

Cf. A036968, A300220.

Programs

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);

Formula

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