A283369 a(n) = Sum_{d|n} d^(4*d + 1).

1, 513, 1594324, 17179869697, 476837158203126, 28430288029931296212, 3219905755813179726837608, 633825300114114700765531472385, 202755595904452569706561330874548093, 100000000000000000000000000476837158203638

Offset

1,2

Links

Seiichi Manyama, Table of n, a(n) for n = 1..119

Example

a(6) = 1^(4+1) + 2^(8+1) + 3^(12+1) + 6^(24+1) = 28430288029931296212.

Mathematica

Table[Sum[d^(4*d + 1), {d, Divisors[n]}], {n, 20}] (* Indranil Ghosh, Mar 17 2017 *)

Prog

(PARI) for(n=1, 20, print1(sumdiv(n, d, d^(4*d + 1)), ", ")) \\ Indranil Ghosh, Mar 17 2017

Crossrefs

Cf. Sum_{d|n} d^(k*d+1): A283498 (k=1), A283533 (k=2), A283535 (k=3), this sequence (k=4).

Sequence in context: A236431 A118709 A296145 * A103351 A291507 A275099

Adjacent sequences: A283366 A283367 A283368 * A283370 A283371 A283372

Keyword

nonn

Author

Seiichi Manyama, Mar 17 2017

Status

approved