A359544 Numbers k such that all their divisors (including k itself) are in A099308, i.e., reach eventually zero when iterated with the arithmetic derivative.

1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 17, 18, 19, 21, 22, 23, 25, 29, 31, 33, 34, 37, 38, 41, 42, 43, 46, 47, 49, 53, 57, 58, 59, 61, 62, 65, 66, 67, 71, 73, 77, 79, 82, 83, 85, 89, 93, 94, 97, 98, 101, 103, 107, 109, 113, 114, 118, 121, 127, 129, 131, 137, 139, 142, 145, 149, 151, 154, 157, 161, 163, 166

Offset

1,2

Links

Table of n, a(n) for n=1..73.

Example

30 = 2*3*5, although it is in A099308, is not included here because its divisor 15 is not in A099308.

Prog

(PARI) isA359544(n) = A359543(n);

Crossrefs

Positions of 0's in A359542.

Setwise difference A099308 \ A359545.

Cf. A359543 (characteristic function).

Sequence in context: A065896 A358215 A099308 * A074235 A325366 A192189

Adjacent sequences: A359541 A359542 A359543 * A359545 A359546 A359547

Keyword

nonn

Author

Antti Karttunen, Jan 05 2023

Status

approved