The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A359544 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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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.
(history; published version)

#5 by Michael De Vlieger at Thu Jan 05 10:54:17 EST 2023

STATUS

proposed

approved

#4 by Antti Karttunen at Thu Jan 05 10:50:20 EST 2023

STATUS

editing

proposed

#3 by Antti Karttunen at Thu Jan 05 08:31:57 EST 2023

CROSSREFS

Subsequence of Setwise difference A099308 \ A359545.

#2 by Antti Karttunen at Thu Jan 05 08:00:42 EST 2023

NAME

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

DATA

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

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.

Subsequence of A099308.

Cf. A359543 (characteristic function).

KEYWORD

allocated

nonn

AUTHOR

Antti Karttunen, Jan 05 2023

STATUS

approved

editing

#1 by Antti Karttunen at Thu Jan 05 07:24:02 EST 2023

NAME

allocated for Antti Karttunen

KEYWORD

allocated

STATUS

approved