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A334363
Decimal expansion of Sum_{k>=0} 1/(4*k+1)!.
4
1, 0, 0, 8, 3, 3, 6, 0, 8, 9, 2, 2, 5, 8, 4, 8, 9, 8, 1, 7, 6, 7, 4, 4, 2, 0, 8, 6, 1, 1, 2, 9, 4, 9, 9, 0, 7, 3, 8, 9, 1, 4, 0, 5, 2, 1, 0, 6, 6, 2, 3, 3, 4, 6, 7, 9, 5, 1, 1, 5, 8, 5, 6, 1, 5, 0, 2, 6, 0, 8, 9, 8, 5, 8, 4, 7, 7, 8, 1, 7, 8, 2, 2, 7, 7, 8, 7, 8, 5, 9, 7, 8, 1, 6, 3, 3, 8, 0, 4, 3, 8, 4, 7, 3, 8, 4, 2, 8, 5, 6
OFFSET
1,4
LINKS
Michael I. Shamos, A catalog of the real numbers, (2011). See p. 36.
FORMULA
Equals (sin(1) + sinh(1))/2.
EXAMPLE
1/1! + 1/5! + 1/9! + ... = 1.008336089225848981767442...
MATHEMATICA
RealDigits[(Sin[1] + Sinh[1])/2, 10, 110] [[1]]
PROG
(PARI) suminf(k=0, 1/(4*k+1)!) \\ Michel Marcus, Apr 25 2020
KEYWORD
nonn,cons
AUTHOR
Ilya Gutkovskiy, Apr 24 2020
STATUS
approved