A282823 - OEIS

A282823

Decimal expansion of Pi^2 + 8*K, where K is Catalan's constant.

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

2,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 2..10000

Eric Weisstein's World of Mathematics, Polygamma Function (formula 24).

Sheldon Yang, Some properties of Catalan's constant G, Internat. J. Math. Ed. Sci. Tech. 23 (4) (1992) 549-556.

FORMULA

Equals 16*A222183.

Equals Psi(1, 1/4), where Psi(r, x) is the Polygamma function of order r.

Equals Sum_{k>=0} 1/(k + 1/4)^2. - Amiram Eldar, May 17 2022

EXAMPLE