A245273 - OEIS

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

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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