A258384 a(n) = n^(n-1) * (n+1)^n.

2, 18, 576, 40000, 4860000, 914838624, 246727835648, 90275517038592, 43046721000000000, 25937424601000000000, 19271723592631858495488, 17310672267004940730236928, 18492034350245752657180811264, 23170856660867919150000000000000

Offset

1,1

Links

Daniel Suteu, Table of n, a(n) for n = 1..20

Formula

a(n) = n^(n-1) * (n+1)^n.

a(n) ~ e * n^(2n-1). - Charles R Greathouse IV, May 28 2015

Example

a(3) = (3+1)^3 * 3^(3-1) = 4^3 * 3^2 = 64 * 9 = 576.

Mathematica

Table[n^(n - 1)*(n + 1)^n, {n, 16}] (* Michael De Vlieger, May 28 2015 *)

Prog

(Sidef)
func a(n) {
    (n+1)**n * n**(n-1);
};
1.to(Math.inf).each { |n|
    say a(n);
};
(PARI) a(n)=n^(n-1)*(n+1)^n \\ Charles R Greathouse IV, May 28 2015

Crossrefs

Sequence in context: A188202 A324308 A071352 * A296376 A013035 A350008

Adjacent sequences: A258381 A258382 A258383 * A258385 A258386 A258387

Keyword

easy,nonn

Author

Daniel Suteu, May 28 2015

Extensions

More terms from Michael De Vlieger, May 28 2015

Status

approved