A372479 Decimal expansion of Sum_{k>=1} sqrt(k)*exp(-k/2).

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

Offset

1,1

Links

Table of n, a(n) for n=1..91.

Tim van de Brug, Wouter Kager, and Ronald Meester, The asymptotics of group Russian roulette, Markov Processes and Related Fields, Vol. 23, No. 1 (2017), pp. 35-66; arXiv preprint, arXiv:1507.03805 [math.PR], 1 May 2017, page 10, (2.19).

Example

2.3124494442486551385446575403272002010989089954486885733417269398881...

Mathematica

RealDigits[PolyLog[-1/2, 1/Sqrt[E]], 10, 120][[1]] (* Amiram Eldar, May 03 2024 *)

Prog

(PARI) suminf(k=1, sqrt(k)*exp(-k/2))

Crossrefs

Sequence in context: A163256 A199263 A341826 * A257669 A181803 A144962

Adjacent sequences: A372476 A372477 A372478 * A372480 A372481 A372482

Keyword

nonn,cons

Author

Hugo Pfoertner, May 03 2024

Status

approved