A371938 Decimal expansion of Sum_{k>=0} (k+2)! / (2k)!.

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

Offset

1,1

Links

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

Formula

Equals (3/32)(34 + 27 e^(1/4) sqrt(Pi) erf(1/2)).

Example

6.186001215875965789280851213604004854378371599...

Mathematica

s = Sum[(k + 2)!/(2 k)!, {k, 0, Infinity}]
d = N[s, 100]
First[RealDigits[d]]

Crossrefs

Cf. A371940.

Sequence in context: A288493 A195293 A230763 * A145314 A011490 A011395

Adjacent sequences: A371935 A371936 A371937 * A371939 A371940 A371941

Keyword

nonn,cons

Author

Clark Kimberling, Apr 27 2024

Status

approved