A379114 Numbers k for which A379113(k) > 1, i.e., k that have a proper unitary divisor d > 1 such that A048720(A065621(sigma(d)),sigma(k/d)) is equal to sigma(k).

6, 10, 12, 14, 15, 20, 21, 22, 24, 26, 28, 30, 33, 35, 39, 40, 42, 44, 46, 48, 50, 51, 52, 55, 56, 57, 58, 60, 62, 63, 65, 66, 69, 70, 72, 75, 76, 77, 78, 80, 84, 86, 87, 88, 91, 92, 93, 94, 96, 100, 102, 104, 105, 108, 111, 112, 114, 115, 116, 118, 119, 120, 122, 123, 124, 126, 129, 132, 133, 136, 138, 140, 141, 143, 144

Offset: 1

Author

Antti Karttunen, Dec 17 2024

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..20000
• Index entries for sequences defined by congruent products between domains N and GF(2)[X].
• Index entries for sequences related to polynomials in ring GF(2)[X].
• Index entries for sequences related to sigma(n).

Crossrefs

Positions of terms > 1 in A379113.

Cf. A000396 (subsequence, at least the even terms are), A379118 (characteristic function).

Cf. also A325638, A325639 (not subsequences).

Programs

PARI

is_A379114(n) = (A379113(n)>1);