A384949 Decimal expansion of Sum_{k>=0} 1/(2*k+1)^9.

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

Offset: 1

Author

Jason Bard, Jul 24 2025

Keywords

• nonn
• cons

Examples

			1.00005134518384377259281790054250500567996990246638...
		

Links

• Jason Bard, Table of n, a(n) for n = 1..10000
• Michael I. Shamos, A catalog of the real numbers, (2007). See p. 21.

Crossrefs

Cf. A013667, A016761.

Programs

Maple

evalf(sum(1/(2*k+1)^9, k=0..infinity), 120);  # Alois P. Heinz, Jul 26 2025

Mathematica

RealDigits[511*Zeta[9]/512, 10, 100][[1]]

PARI

511*zeta(9)/512 \\ Amiram Eldar, Jul 28 2025

Formula

Equals 511*Zeta(9)/512 = 511/512 * A013667.

Equals Sum_{n>=0} 1/A016761(n). - Amiram Eldar, Jul 28 2025