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: 1

Author

Kelvin Voskuijl, Aug 20 2025

Keywords

• nonn
• cofr
• new

Examples

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

Crossrefs

Cf. A238695 (decimal expansion).

Programs

Mathematica

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