login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A371501
Decimal expansion of Sum_{k>=0} 1 / (k^2 - k)!.
1
2, 5, 0, 1, 3, 8, 8, 8, 9, 0, 9, 7, 6, 5, 6, 4, 5, 8, 8, 0, 8, 6, 7, 3, 0, 5, 4, 9, 1, 4, 1, 1, 1, 8, 1, 7, 6, 8, 4, 4, 4, 5, 9, 9, 9, 7, 8, 9, 2, 4, 8, 9, 8, 5, 6, 4, 6, 5, 6, 0, 1, 1, 7, 8, 3, 1, 7, 4, 6, 5, 5, 8, 1, 4, 9, 9, 3, 8, 5, 0, 3, 9, 1, 8, 2, 7
OFFSET
1,1
FORMULA
(this constant) - (constant in A371500) = 2.00277777777777777859984130244...
Equals 1+ A370013. - R. J. Mathar, Apr 14 2024
EXAMPLE
2.501388890976564588086730549...
MATHEMATICA
s[x_] := s[x] = Sum[x^n/((n^2 - n)!), {n, 0, Infinity}]
First[RealDigits[N[s[1], 100]]]
PROG
(PARI) suminf(k=0, 1/(k^2-k)!) \\ Charles R Greathouse IV, Nov 26 2024
CROSSREFS
Cf. A371500.
Sequence in context: A004598 A091086 A336686 * A118349 A341268 A011183
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Apr 04 2024
STATUS
approved