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

Author

Jean-François Alcover, Jul 16 2014

Keywords

• nonn
• cons
• easy

Examples

			-0.00635645590858485121010002672996043819899491016091988116986828085776...
		

References

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

Links

• Eric Weisstein's MathWorld, Stieltjes Constants
• Wikipedia, Stieltjes constants

Crossrefs

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

Programs

Mathematica

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

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.