A367510 a(n) = Sum_{d|n} (n*d+1)^n.
2, 34, 1064, 90707, 11889152, 2617716748, 781252097152, 320058240313028, 167630129865661440, 110581271670766466804, 89116503268963605948416, 86403662577880534613564934, 99045780329060163714773254144
Offset: 1
Keywords
Programs
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Mathematica
Table[Total[(n*Divisors[n]+1)^n],{n,20}] (* Harvey P. Dale, Feb 06 2024 *) -
PARI
a(n) = sumdiv(n, d, (n*d+1)^n);
Formula
a(n) = Sum_{k=0..n} n^k * binomial(n,k) * sigma_k(n).