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A372390
Decimal expansion of Sum_{k>=0} 1/(floor(k*tau))!, where tau = golden ratio.
1
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
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
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, May 18 2024
STATUS
approved