A260085 Infinite sequence of positive integers such that a(n) = A037445(a(1)+a(2)+...+a(n)) for all n>=1.

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 Falcao's method (2015) one can prove that such an infinite sequence exists.

All terms are powers of 2.

Links

Table of n, a(n) for n=1..104.

Formula

a(n) = 2 * A260123(n).

Crossrefs

Cf. A037445, A259935, A260084, A260123.

Sequence in context: A096509 A035661 A287393 * A159461 A046930 A302254

Adjacent sequences: A260082 A260083 A260084 * A260086 A260087 A260088

Keyword

nonn

Author

Vladimir Shevelev, Jul 15 2015

Status

approved