0,3

Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), May 24 2009: (Start)

In A160464 the coefficients of the ES1 matrix are defined. This matrix led to the discovery that the successive differences of the ES1[1-2*m,n] coefficients for m= 1, 2, 3, .. , are equal to the values of Zeta'[ -2n], see also A094665 and A160468.

(End)

Eric Weisstein's World of Mathematics, Riemann Zeta Function

-1/4, 3/4, -45/8, 315/4, -14175/8, 467775/8, -42567525/16, ...

-Zeta[3]/(4*Pi^2), (3*Zeta[5])/(4*Pi^4), (-45*Zeta[7])/(8*Pi^6), (315*Zeta[9])/(4*Pi^8), (-14175*Zeta[11])/(8*Pi^10), ...

Contribution from Peter Luschny (peter(AT)luschny.de), May 02 2009: (Start)

# Without rational arithmetic

a := n -> (-1)^n*(2*n)!*2^(add(i, i=convert(n, base, 2))-2*n); (End)

Numerator[(2*n)!/2^(2*n + 1)(-1)^n]

Cf. A117973.

Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), May 24 2009: (Start)

Cf. A160464, A094665 and A160468.

Absolute values equal row sums of A160468.

(End)

Sequence in context: A062346 A002682 A073595 this_sequence A061532 A060242 A141445

Adjacent sequences: A117969 A117970 A117971 this_sequence A117973 A117974 A117975

sign,frac

Eric Weisstein (eric(AT)weisstein.com), Apr 06, 2006

First term added, offset changed and edited by Johannes W. Meijer (meijgia(AT)hotmail.com), May 15 2009