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A371503
Decimal expansion of Sum_{k>=0} 1/(k^2 + k + 1)!.
1
1, 1, 6, 6, 8, 6, 5, 0, 7, 9, 5, 2, 5, 6, 6, 9, 8, 0, 3, 4, 6, 7, 1, 5, 4, 1, 6, 6, 4, 2, 2, 3, 9, 4, 5, 1, 9, 6, 2, 4, 2, 6, 6, 2, 8, 8, 4, 1, 7, 6, 3, 6, 8, 8, 0, 0, 1, 9, 1, 1, 2, 6, 1, 2, 4, 6, 6, 8, 9, 8, 8, 3, 9, 4, 1, 9, 6, 1, 2, 3, 7, 5, 0, 1, 0, 3
OFFSET
0,3
FORMULA
(this constant) - (constant in A371502) = 0.33333333365451421006976562532...
EXAMPLE
1.16686507952566980346715416642...
MATHEMATICA
s=Sum[1/((n^2 + n + 1)!), {n, 0, Infinity}]; First[RealDigits[N[s, 100]]]
CROSSREFS
Cf. A371502.
Sequence in context: A205863 A132711 A021861 * A334365 A088684 A088683
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Apr 04 2024
STATUS
approved