A226383 - OEIS

%I #8 Oct 02 2017 08:02:13

%S 5,7,11,19,19,23,29,31,35,37,47,49,53,65,65,67,73,79,85,85,89,89,97,

%T 101,103,119,121,121,125,131,133,143,143,149,151,157,161,169,175,179,

%U 185,185,197,205,211,211,215,221,223,227,233,239,251,259,259,259,269,271,275,277,283,287,287,289,313,313,319,323,323

%N Numbers for which there is at least one 3-smooth representation that is special of level k.

%C These numbers are of the form 3^k*2^0 + 3^{k-1}*2^{a_1} + ... + 3^1*2^{a_{k-1}} + 3^0*2^{a_k} in which every power 3^i appears, 0 <= i <= k, and where a_i satisfies a_0 = 0, a_0 < a_1 < ... < a_k.

%D Kenneth Vollmar, Recursive calculation of 3-smooth representations special of level k, To be submitted mid-2013.

%H R. Blecksmith, M. McCallum and J. L. Selfridge, <a href="http://www.jstor.org/stable/2589404">3-smooth representations of integers</a>, Amer. Math. Monthly, 105 (1998), 529-543.

%Y Cf. A213539, A003586.

%K nonn

%O 0,1

%A _Kenneth Vollmar_, Jun 05 2013