A104411 Number of prime factors, with multiplicity, of the tetranacci numbers A000078.

0, 0, 1, 2, 3, 2, 1, 4, 5, 5, 1, 1, 3, 4, 6, 2, 2, 8, 5, 9, 2, 2, 4, 5, 6, 4, 2, 7, 5, 8, 2, 4, 3, 6, 12, 1, 3, 9, 7, 8, 2, 3, 4, 7, 4, 6, 4, 7, 3, 8, 6, 6, 6, 6, 7, 1, 3, 11, 5, 8, 5, 5, 5, 4, 7, 2, 3, 9, 5, 9, 4, 6, 6, 8, 12, 7, 4, 25, 8, 10, 4, 4, 4, 7, 6, 4, 11, 5, 6, 7, 3, 4, 3, 8, 8, 5, 6, 13, 8, 7, 5, 5, 5

Offset

3,4

Links

Amiram Eldar, Table of n, a(n) for n = 3..244

Marcellus E. Waddill, The Tetranacci Sequence and Generalizations, The Fibonacci Quarterly, 30.1 (1992) 9.

Marcellus E. Waddill, Some Properties of the Tetranacci Sequence Modulo m, The Fibonacci Quarterly, 30.3 (1992) 232.

Eric Weisstein's World of Mathematics, Tetranacci Number.

Formula

a(n) = A001222(A000078(n)). a(n) = bigomega(A000078(n)).

Mathematica

PrimeOmega[LinearRecurrence[{1, 1, 1, 1}, {1, 1, 2, 4}, 100]] (* Amiram Eldar, May 16 2021 *)

Crossrefs

Cf. A000078, A001222.

Sequence in context: A336126 A336153 A299765 * A216084 A055101 A319108

Adjacent sequences: A104408 A104409 A104410 * A104412 A104413 A104414

Keyword

nonn

Author

Jonathan Vos Post, Mar 05 2005

Extensions

More terms from R. J. Mathar, Dec 14 2009

Offset changed to 3 by Joerg Arndt, Dec 19 2020

Status

approved