A248683 Decimal expansion of r = sum{(floor(n/3)!)^3/n!, n >= 0}.

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

Offset

1,1

Links

Clark Kimberling, Table of n, a(n) for n = 1..1000

Formula

r = sum{(n!^3)*p(3,n)/(3*n + 2)!, n >= 0}, where p(k,n) is defined at A248664.

Example

r = 2.7302563769633613858049832744771976271...

Mathematica

RealDigits[Sum[(Floor[n/3])!^3/n!, {n, 0, 400}], 10, 111][[1]]

Prog

(PARI) suminf(n=0, ((n\3)!)^3/n!) \\ Michel Marcus, Feb 23 2016

Crossrefs

Cf. A248682, A248684, A248685, A248664.

Sequence in context: A282655 A282803 A341093 * A110987 A199740 A229952

Adjacent sequences: A248680 A248681 A248682 * A248684 A248685 A248686

Keyword

nonn,easy,cons

Author

Clark Kimberling, Oct 11 2014

Status

approved