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A260123
The second infinite sequence of positive integers such that a(n) = A037445(a(1)+a(2)+...+a(n)) for all n>=1 (see also A260085).
4
1, 2, 2, 2, 2, 2, 4, 2, 4, 2, 4, 2, 2, 4, 4, 2, 4, 2, 4, 2, 4, 2, 2, 4, 4, 2, 2, 4, 2, 2, 2, 4, 4, 4, 2, 8, 2, 4, 4, 4, 2, 4, 2, 8, 2, 2, 4, 4, 2, 2, 4, 2, 8, 2, 4, 2, 4, 2, 4, 4, 8, 2, 4, 4, 4, 4, 4, 4, 2, 8, 2, 4, 2, 4, 4, 8, 2, 4, 2, 4, 2, 2, 4, 4, 2, 2, 4, 2, 8, 4, 4, 2, 8, 2, 4, 4, 4, 2, 4, 2, 8, 2, 2, 8
OFFSET
1,2
COMMENTS
The second after A260085 infinitary analog 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.
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Shevelev, Jul 17 2015
STATUS
approved