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).

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

Author

Vladimir Shevelev, Jul 17 2015

Keywords

• nonn

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

Cf. A037445, A259935, A260085.