A369668 Numbers that have an even number of prime factors with multiplicity and whose arithmetic derivative is of the form 4k+3.

10, 26, 34, 58, 74, 82, 90, 106, 122, 146, 178, 194, 202, 210, 218, 226, 234, 250, 274, 298, 306, 314, 330, 346, 362, 386, 394, 458, 466, 482, 490, 514, 522, 538, 546, 554, 562, 570, 586, 626, 634, 650, 666, 674, 690, 698, 706, 714, 738, 746, 770, 778, 794, 802, 810, 818, 842, 850, 858, 866, 898, 914, 922, 930, 954

Offset

1,1

Comments

All terms are of the form 4m+2 because if n has an even number of odd prime factors, then its arithmetic derivative A003415(n) is even. See A235991 and A235992.

Links

Antti Karttunen, Table of n, a(n) for n = 1..10000

Formula

a(n) = 2*A359151(n). - Antti Karttunen, Jan 20 2026

Prog

(PARI) \\ See A369667.

Crossrefs

Intersection of A028260 and A358774.

Intersection of A358774 and A369966.

Subsequence of A392594. See also A369650.

Twice A359151.

Cf. A001222, A003415, A235991, A235992, A369667 (characteristic function).

Cf. also A369663.

Sequence in context: A005278 A339977 A157075 * A262998 A245021 A045039

Adjacent sequences: A369665 A369666 A369667 * A369669 A369670 A369671

Keyword

nonn

Author

Antti Karttunen, Feb 08 2024

Status

approved