A086464 Decimal expansion of 17/36*zeta(4).

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

Offset: 0

Author

Eric W. Weisstein, Jul 21 2003

Keywords

• nonn
• cons

Examples

			0.51109708258581525710477952336666262075474350507273...
		

Links

• Renzo Sprugnoli, Sums of reciprocals of the central binomial coefficients, El. J. Combin. Numb. Th. 6 (2006) # A27
• Eric Weisstein's World of Mathematics, Central Binomial Coefficient.

Crossrefs

Cf. A073010, A073016, A086463.

Programs

Mathematica

RealDigits[17*Zeta[4]/36, 10, 120][[1]] (* Amiram Eldar, May 25 2023 *)

PARI

zeta(4)*17/36 \\ Michel Marcus, Jul 31 2015

Formula

Equals Sum_{n>=1} 1/(n^4 * binomial(2*n,n)).