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A334364
Decimal expansion of Sum_{k>=0} 1/(4*k+2)!.
4
5, 0, 1, 3, 8, 9, 1, 6, 4, 4, 7, 3, 5, 5, 2, 0, 3, 0, 5, 3, 8, 4, 8, 4, 5, 0, 6, 6, 5, 7, 0, 4, 2, 5, 3, 9, 4, 3, 4, 6, 0, 9, 3, 4, 5, 8, 7, 3, 9, 7, 0, 7, 3, 8, 5, 3, 3, 6, 5, 2, 4, 7, 9, 6, 6, 4, 8, 3, 4, 3, 3, 4, 1, 3, 7, 3, 7, 5, 9, 6, 7, 2, 2, 3, 1, 5, 6, 4, 3, 5, 1, 7, 4, 1, 7, 9, 9, 7, 3, 1, 2, 1, 7, 3, 7, 5, 6, 3, 7, 2
OFFSET
0,1
LINKS
Michael I. Shamos, A catalog of the real numbers, (2011). See p. 457.
FORMULA
Equals (cosh(1) - cos(1))/2.
EXAMPLE
1/2! + 1/6! + 1/10! + ... = 0.5013891644735520305...
MATHEMATICA
RealDigits[(Cosh[1] - Cos[1])/2, 10, 110] [[1]]
PROG
(PARI) suminf(k=0, 1/(4*k+2)!) \\ Michel Marcus, Apr 25 2020
KEYWORD
nonn,cons
AUTHOR
Ilya Gutkovskiy, Apr 24 2020
STATUS
approved