OFFSET
0,1
COMMENTS
a(n) is the exponent of prime 2 in the prime factorization of A008892(n).
An empirical observation would suggest that this sequence may be a(n) = 1 for n >= 793 since the likelihood of a parity switch becomes exponentially small.
LINKS
Amiram Eldar, Table of n, a(n) for n = 0..2146 (terms 0..1650 from Samuel Herts)
Carl Pomerance, Aliquot Sequences, The Unsolved Problems Conference, 2020.
EXAMPLE
PROG
(PARI) lista(nn) = my(v = vector(nn)); v[1] = 276; for (n=2, nn, v[n] = sigma(v[n-1]) - v[n-1]; ); apply(x->valuation(x, 2), v); \\ Michel Marcus, May 14 2024
CROSSREFS
KEYWORD
nonn
AUTHOR
Samuel Herts, May 08 2024
STATUS
approved