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
Examples
a(3) = (3+1)^3 * 3^(3-1) = 4^3 * 3^2 = 64 * 9 = 576.
Links
- Daniel Suteu, Table of n, a(n) for n = 1..20
Programs
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Mathematica
Table[n^(n - 1)*(n + 1)^n, {n, 16}] (* Michael De Vlieger, May 28 2015 *)
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PARI
a(n)=n^(n-1)*(n+1)^n \\ Charles R Greathouse IV, May 28 2015
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Sidef
func a(n) { (n+1)**n * n**(n-1); }; 1.to(Math.inf).each { |n| say a(n); };
Formula
a(n) = n^(n-1) * (n+1)^n.
a(n) ~ e * n^(2n-1). - Charles R Greathouse IV, May 28 2015
Extensions
More terms from Michael De Vlieger, May 28 2015