A372390 Decimal expansion of Sum_{k>=0} 1/(floor(k*tau))!, where tau = golden ratio.

2, 2, 0, 9, 7, 4, 9, 8, 0, 6, 6, 9, 2, 7, 5, 1, 6, 5, 2, 4, 1, 0, 8, 1, 0, 9, 3, 9, 7, 2, 8, 1, 4, 6, 6, 5, 2, 3, 2, 2, 5, 9, 9, 5, 0, 5, 0, 4, 5, 3, 5, 2, 5, 9, 7, 4, 1, 8, 9, 1, 0, 8, 8, 2, 9, 5, 6, 9, 3, 0, 8, 0, 4, 0, 7, 0, 2, 4, 2, 0, 3, 6, 5, 9, 9, 9

Offset

1,1

Links

Table of n, a(n) for n=1..86.

Formula

(this sum) + (sum in A372391) = e + 1.

Example

2.2097498066927516524108109397281466523225995050453525...

Mathematica

s = Sum[1/(Floor[k*GoldenRatio])!, {k, 0, 50}];
d = N[s, 100]
First[RealDigits[d]]

Crossrefs

Cf. A001622 (golden ratio), A372391.

Sequence in context: A184011 A079194 A179198 * A117739 A243203 A268652

Adjacent sequences: A372387 A372388 A372389 * A372391 A372392 A372393

Keyword

nonn,cons

Author

Clark Kimberling, May 18 2024

Status

approved