A374111 Numbers k such that A113177(k) and A328845(k) are both multiples of 3, where A113177 is fully additive with a(p) = Fibonacci(p) and A328845 is the first Fibonacci-based variant of the arithmetic derivative.

1, 8, 10, 22, 27, 36, 45, 58, 64, 68, 80, 85, 91, 92, 99, 100, 106, 115, 117, 118, 125, 126, 133, 162, 164, 166, 171, 176, 187, 188, 202, 205, 214, 216, 220, 235, 253, 259, 261, 262, 270, 275, 284, 288, 298, 301, 306, 333, 343, 346, 355, 356, 358, 360, 387, 394, 403, 414, 427, 441, 445, 450, 451, 452, 454, 464, 469

Offset

1,2

Comments

A multiplicative semigroup: if m and n are in the sequence, then so is m*n.

Links

Antti Karttunen, Table of n, a(n) for n = 1..12000

Prog

(PARI) isA374111 = A374110;

Crossrefs

Intersection of A374052 and A374122.

Indices of multiples of 3 in A374106.

Cf. A113177, A328845, A374110 (characteristic function).

Sequence in context: A338820 A302429 A292999 * A216047 A032488 A102844

Adjacent sequences: A374108 A374109 A374110 * A374112 A374113 A374114

Keyword

nonn

Author

Antti Karttunen, Jun 29 2024

Status

approved