A058126 a(n) = n^n - n^2 with 0^0=1.

1, 0, 0, 18, 240, 3100, 46620, 823494, 16777152, 387420408, 9999999900, 285311670490, 8916100448112, 302875106592084, 11112006825557820, 437893890380859150, 18446744073709551360

Offset

0,4

Links

Table of n, a(n) for n=0..16.

Formula

a(n) = A000312(n) - A000290(n) = log(A058125(n))/log(n).

E.g.f.: 1/(1 + LambertW(-x)) - x*(x + 1)*exp(x), where LambertW() is the Lambert W-function. - Ilya Gutkovskiy, Feb 08 2017

Example

a(2) = 2^2 - 2^2 = 4 - 4 = 0.
a(3) = 3^3 - 3^2 = 27 - 9 = 18.

Crossrefs

Cf. A000290, A000312, A058125.

Sequence in context: A017065 A016252 A016301 * A016247 A021064 A181379

Adjacent sequences: A058123 A058124 A058125 * A058127 A058128 A058129

Keyword

easy,nonn

Author

Henry Bottomley, Nov 10 2000

Status

approved