login
A260085
Infinite sequence of positive integers such that a(n) = A037445(a(1)+a(2)+...+a(n)) for all n>=1.
3
2, 4, 4, 4, 4, 4, 8, 4, 8, 4, 8, 4, 4, 8, 8, 4, 8, 4, 8, 4, 8, 4, 4, 8, 8, 4, 4, 8, 4, 4, 4, 8, 8, 8, 4, 16, 4, 8, 8, 8, 4, 8, 4, 16, 4, 4, 8, 8, 4, 4, 8, 4, 16, 4, 8, 4, 8, 4, 8, 8, 16, 4, 8, 8, 8, 8, 8, 8, 4, 16, 4, 8, 4, 8, 8, 16, 4, 8, 4, 8, 4, 4, 8, 8, 4, 4, 8, 4, 16, 8, 8, 4, 16, 4, 8, 8, 8, 4, 8, 4, 16, 4, 4, 16
OFFSET
1,1
COMMENTS
The first infinitary analog (see also A260123) of A259935 (see comment there). Using Guba's method (2015) one can prove that such an infinite sequence exists.
All terms are powers of 2.
FORMULA
a(n) = 2 * A260123(n).
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Shevelev, Jul 15 2015
STATUS
approved