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Numbers k such that A000110(k) is divisible by k.
2

%I #31 Jan 09 2025 06:10:34

%S 1,2,35,16833,16989,23684

%N Numbers k such that A000110(k) is divisible by k.

%C No other terms below 50000.

%C From _Amiram Eldar_, Jun 20 2024: (Start)

%C Numbers k such that A166226(k) = 0.

%C All the terms above 2 are composites since A166226(p) == 2 (mod p) for prime p. (End)

%C No other terms below 90000. - _Michael S. Branicky_, Jan 09 2025

%e 35 is in the sequence because A000110(35) = 35 * 8045720086273150473238297902.

%t Select[Range[1000], Divisible[BellB[#], #] &]

%Y Cf. A000110, A051130, A066562, A073877, A113883, A166226, A280727, A325935.

%Y Cf. A014847, A016089, A023172, A051177, A056848.

%K nonn,hard,more

%O 1,2

%A _Vaclav Kotesovec_, Sep 07 2019