A145427 Decimal expansion of Sum_{n>=0} (n!/(n+3)!)^2.

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

Offset: 0

Author

R. J. Mathar, Feb 08 2009

Keywords

• cons
• easy
• nonn

Examples

			0.0299011002723396547...
		

References

• Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, (1996), 4.1.32.

Crossrefs

Cf. A091476, A145426.

Programs

Maple

1/4*Pi^2-39/16 ;

Mathematica

RealDigits[Pi^2/4 - 39/16, 10, 120, -1][[1]] (* Amiram Eldar, Jun 19 2023 *)

Formula

Equals A091476 - 2.4375.