A341437 - OEIS

A341437

Numbers k such that k divides Sum_{j=0..k} j^(k-j).

1, 2, 6, 7, 9, 42, 46, 431, 1806, 2506, 11318, 16965, 25426, 33146, 33361, 37053, 49365, 99221, 224506, 359703, 436994

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OFFSET

1,2

COMMENTS

Numbers k such that k divides A026898(k-1).

a(19) > 10^5.

LINKS

FORMULA

0^6 + 1^5 + 2^4 + 3^3 + 4^2 + 5^1 + 6^0 = 66 = 6 * 11. So 6 is a term.

MATHEMATICA

Do[If[Mod[Sum[PowerMod[k, n - k, n], {k, 0, n}], n] == 0, Print[n]], {n, 1, 3000}] (* Vaclav Kotesovec, Feb 12 2021 *)

PROG

(PARI) isok(n) = sum(k=0, n, Mod(k, n)^(n-k))==0;

CROSSREFS

KEYWORD

nonn,more

AUTHOR

EXTENSIONS

a(19) from Vaclav Kotesovec, Feb 14 2021

a(20)-a(21) from Chai Wah Wu, Feb 15 2021

STATUS

approved