A387175 Continued fraction expansion of Product_{k>=0} (1+1/k!).

7, 2, 1, 2, 1, 11, 1, 1, 2, 1, 15, 3, 1, 2, 1, 11, 1, 1, 1, 9, 1, 1, 3, 5, 9, 1, 6, 1, 1, 1, 44, 2, 1, 26, 1, 5, 1, 6, 19, 1, 1, 8, 2, 1, 8, 1, 2, 25, 9, 1, 4, 94, 1, 1, 25, 6, 2, 2, 1, 2, 4, 1, 2, 25, 28, 1, 2, 1, 2, 2, 1, 1, 4, 12, 1, 1591, 7, 1, 4, 4, 22, 1, 1, 4, 9, 1, 2, 2, 1, 2, 3, 1

Offset

0,1

Links

Table of n, a(n) for n=0..91.

Example

7 + 1/(2 + 1/(1 + 1/(...))) = Product_{k>=0} (1+1/k!).

Mathematica

terms= 92; ContinuedFraction[Product[1+1/k!, {k, 0, 3*terms}], terms] (* Stefano Spezia, Aug 21 2025 *)

Crossrefs

Cf. A238695 (decimal expansion).

Sequence in context: A103713 A197184 A089129 * A100957 A372907 A191856

Adjacent sequences: A387172 A387173 A387174 * A387176 A387177 A387178

Keyword

nonn,cofr

Author

Kelvin Voskuijl, Aug 20 2025

Extensions

Offset set to 0 by Andrew Howroyd, Nov 20 2025

Status

approved