A261114 Decimal expansion of Sum_{n>=0} 1/((n!)^n).
2, 2, 5, 4, 6, 3, 2, 6, 4, 3, 7, 5, 1, 6, 0, 7, 5, 1, 7, 4, 6, 6, 0, 9, 1, 7, 6, 1, 9, 4, 2, 3, 6, 2, 4, 8, 7, 3, 6, 0, 2, 8, 6, 2, 4, 2, 7, 9, 1, 0, 8, 1, 6, 9, 7, 0, 1, 4, 3, 0, 0, 8, 6, 5, 2, 0, 9, 2, 7, 1, 9, 4, 4, 7, 4, 0, 9, 3, 0, 9, 8, 8, 9, 0, 5, 9, 5
Offset: 1
Examples
2.2546326437516075174660917619423624873602862427910816970143008652092...
Crossrefs
Sum of 1/A036740(n).
Programs
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Mathematica
RealDigits[N[Sum[1/((n!)^n), {n, 0, Infinity}], 120]] // First (* Michael De Vlieger, Sep 22 2015 *)
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PARI
suminf(k=0, 1/k!^k) \\ Michel Marcus, Sep 20 2022