A260229 a(n) = floor(e^(n!)).

2, 7, 403, 26489122129, 13041808783936322797338790280986488113446079415755132

Offset: 1

Author

Ilya Gutkovskiy, Jul 20 2015

Keywords

• nonn

Comments

The exponential growth in the number of permutations of n elements.

Next term is too big to be included.

Examples

			a(1) = floor(e^(1!)) = floor(e) = 2.
		

Crossrefs

Cf. A000149, A000142.

Cf. A050923, A100731.

Programs

Mathematica

Table[Floor[E^n!], {n, 1, 7}]

PARI

default(realprecision, 100); vector(5, n, floor(exp(n!))) \\ Michel Marcus, Aug 06 2015

Formula

a(n) = A000149(A000142(n)).

a(n) = floor(sqrt(e^A052849(n) - e^A000142(n) + sqrt(e^A052849(n) - e^A000142(n) + sqrt(e^A052849(n) - e^A000142(n) + ...)))).