A379122 Odd numbers m for which A379113(m^2) > 1, i.e., k = m^2 has a proper unitary divisor d > 1 such that A048720(A065621(sigma(d)),sigma(k/d)) is equal to sigma(k).

15, 55, 57, 111, 171, 195, 303, 465, 497, 595, 639, 867, 879, 925, 959, 1169, 1263, 1953, 3135, 3345, 3489, 3565, 5425, 6923, 7239, 8153, 8215, 8801, 8959, 9703, 10033, 10507, 11249, 14291, 16275, 18135, 18569, 18693, 19173, 20271, 23943, 24303, 26607, 28325, 32581, 33655, 34163, 40393, 43927, 46221, 47649, 55281

Offset

1,1

Links

Antti Karttunen, Table of n, a(n) for n = 1..2025

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).

Formula

{Odd k such that A379113(k^2) > 1}.

a(n) = A000196(A379121(n)).

Prog

(PARI) is_A379122(n) = (n%2 && A379113(n^2)>1);

Crossrefs

Square roots of A379121.

Cf. A379113.

Sequence in context: A086643 A296324 A240814 * A225509 A235533 A039369

Adjacent sequences: A379119 A379120 A379121 * A379123 A379124 A379125

Keyword

nonn

Author

Antti Karttunen, Dec 18 2024

Status

approved