A245273 Decimal expansion of zeta''(0)+2, the coefficient of z^2 in the Laurent expansion of zeta(z) at the origin.

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

Offset

0,3

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.21 Stieltjes Constants, p. 168.

Links

Table of n, a(n) for n=0..106.

Eric Weisstein's MathWorld, Stieltjes Constants

Wikipedia, Stieltjes constants

Formula

-Pi^2/24 - log(2*Pi)^2/2 + gamma^2/2 + gamma(1) + 2, where gamma is Euler's constant and gamma(1) is the first Stieltjes constant.

Example

-0.00635645590858485121010002672996043819899491016091988116986828085776...

Mathematica

Join[{0, 0}, RealDigits[Zeta''[0]+2, 10, 105] // First]

Crossrefs

Cf. A082633(gamma(1)), A110544(coefficient of z).

Sequence in context: A153595 A195482 A298529 * A199728 A199867 A171030

Adjacent sequences: A245270 A245271 A245272 * A245274 A245275 A245276

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jul 16 2014

Status

approved