A062811 a(n) = Sum_{i=1..n} i^(n - i) + (i - n)^i.
1, 1, 3, 9, 21, 65, 215, 713, 2809, 11425, 49339, 234825, 1148013, 6009153, 33216239, 190115849, 1152491825, 7244099617, 47387741107, 323632894729, 2280785100549, 16702573959489, 126413562204231, 986688266888777
Offset: 1
Examples
a(3) = 1^2 + (-2)^1 + 2^1 + (-1)^2 + 3^0 + 0^3 = 3.
Links
- Seiichi Manyama, Table of n, a(n) for n = 1..600
Programs
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Mathematica
Table[Sum[i^(n-i)+(-1)^i*(n-i)^i,{i,1,n}],{n,25}] (* Harvey P. Dale, Aug 10 2025 *) -
PARI
a(n) = sum(i=1, n, i^(n-i) + (i-n)^i); \\ Michel Marcus, Mar 24 2019
Extensions
Previous Mathematica program replaced by Harvey P. Dale, Aug 10 2025