A192111 - OEIS

%I #23 Oct 21 2019 19:12:08

%S 0,1,2,5,7,8,11,17,19,23,25,26,49,65,73,77,79,80

%N Monotonic ordering of nonnegative differences 3^i-2^j, for i>=0, j>=0.

%C Complement of A173671 in the nonnegative integers.

%H H. Gauchman and I. Rosenholtz (Proposers), R. Martin (Solver), <a href="https://www.jstor.org/stable/2691457">Difference of prime powers, Problem 1404</a>, Math. Mag., 65 (No. 4, 1992), 265; <a href="https://www.jstor.org/stable/2690747">Solution</a>, Math. Mag., 66 (No. 4, 1993), 269.

%H Math Overflow, <a href="https://mathoverflow.net/questions/29926/3n-2m-pm-41-is-not-possible-how-to-prove-it/29956#29956">3^n - 2^m = +-41 is not possible. How to prove it?</a>, Several contributors, Jun 29 2010.

%Y Cf. A173671 (complement), A192110, A227048 (partial unions of rows).

%K nonn

%O 1,3

%A _Clark Kimberling_, Jun 23 2011

%E Deleted unwarranted programs and b-file. Only the terms in A173671 (that is, up to 100) have been proved to be correct. - _N. J. A. Sloane_, Oct 21 2019