A374114 Numbers k such that A113177(k) and A276085(k) are both even, where A113177 and A276085 are fully additive with a(p) = Fibonacci(p) and a(p) = p#/p, respectively.

1, 3, 4, 9, 12, 16, 25, 27, 35, 36, 48, 49, 55, 64, 65, 75, 77, 81, 85, 91, 95, 100, 105, 108, 115, 119, 121, 133, 140, 143, 144, 145, 147, 155, 161, 165, 169, 185, 187, 192, 195, 196, 203, 205, 209, 215, 217, 220, 221, 225, 231, 235, 243, 247, 253, 255, 256, 259, 260, 265, 273, 285, 287, 289, 295, 299, 300, 301, 305

Offset

1,2

Comments

Numbers whose 2-adic valuation (A007814) is even, and the number of the prime factors (with multiplicity, A001222) and the 3-adic valuation (A007949) have the same parity.

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) isA374114 = A374113;

Crossrefs

Intersection of A003159 and A373586.

Indices of even terms in A374112.

Cf. A001222, A007814, A007949, A113177, A276085, A374113 (characteristic function), A374115 (complement).

Sequence in context: A243185 A336166 A374108 * A230781 A025613 A356036

Adjacent sequences: A374111 A374112 A374113 * A374115 A374116 A374117

Keyword

nonn

Author

Antti Karttunen, Jun 29 2024

Status

approved