A239545 Decimal expansion of Sum_{k>=0} (-1)^k/((2k+1)*(2k+3)*(2k+5)).

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

Offset: 0

Author

Bruno Berselli, Mar 21 2014

Keywords

• nonn
• cons

Examples

			0.0593657483653908214744970895766045271913128415885548942885347407051...
		

Links

• L. B. W. Jolley, Summation of Series, Dover, 1961, p. 44 (series n. 240)

Crossrefs

Cf. A000796, A001539, A005408 (odd numbers) A021016 (Sum_{k>=0} 1/((2k+1)*(2k+3)*(2k+5))), A061550.

Programs

Mathematica

RealDigits[Pi/8 - 1/3, 10, 90, -1][[1]]

PARI

Pi/8-1/3 \\ Charles R Greathouse IV, May 05 2014

Formula

Equals Pi/8 - 1/3 = A019675 - A010701.

Equals Sum_{k>=1} 1/((4*k+1)*(4*k+3)) = Sum_{k>=1} 1/A001539(k). - Amiram Eldar, Jul 04 2020