OFFSET
1,3
LINKS
FORMULA
Equals (BesselI(0,2) - BesselJ(0,2))/2.
EXAMPLE
1/1!^2 + 1/3!^2 + 1/5!^2 + 1/7!^2 + ... = 1.027847261597415799692...
Continued fraction: 1 + 1/(36 - 36/(401 - 400/(1765 - ... - P(n-1)/((P(n) + 1) - ... )))), where P(n) = (2*n*(2*n + 1))^2 for n >= 1. - Peter Bala, Feb 22 2024
MATHEMATICA
RealDigits[(BesselI[0, 2] - BesselJ[0, 2])/2, 10, 110] [[1]]
PROG
(PARI) suminf(k=0, 1/((2*k+1)!)^2) \\ Michel Marcus, Apr 26 2020
(PARI) (besseli(0, 2) - besselj(0, 2))/2 \\ Michel Marcus, Apr 26 2020
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Ilya Gutkovskiy, Apr 25 2020
STATUS
approved