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A245273 Decimal expansion of zeta''(0)+2, the coefficient of z^2 in the Laurent expansion of zeta(z) at the origin. 1
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 (list; constant; graph; refs; listen; history; text; internal format)
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-Fran├žois Alcover, Jul 16 2014

STATUS

approved

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Last modified May 20 20:15 EDT 2022. Contains 353876 sequences. (Running on oeis4.)