A134354 Integer nearest to expression 2 Pi n^(2 n + 1) e^(-2 n).

1, 4, 34, 553, 13929, 504211, 24804343, 1592201163, 129266762933, 12950610156346, 1569397748147942, 226278584786787360, 38281932323382968320, 7510129222684065660928, 1691120063240224255246336

Offset: 1

Author

Artur Jasinski, Oct 22 2007

Keywords

• nonn

Comments

Integers in this sequence are <= (n!)^2 (see A001044)

Crossrefs

Cf. A001044, A134354.

Programs

Mathematica

Table[Round[N[2 Pi n^(2 n + 1)E^(-2 n)]], {n, 1, 30}]

Formula

a(n) = Round[2 Pi n^(2 n + 1)E^(-2 n)]