|
%I #8 Oct 19 2017 03:14:08
%S 1,2,4,6,11,13,18,20,22,23,26,29,31,38,45,47,50,53,72,75,78,80,87,94,
%T 99,103,107,112,119,126,131,156,175,200,205,212,219,224,228,232,237,
%U 244,256,281,293,318,330,337,342,369,374,418,455,462,499,543,548,575
%N Numbers that cannot be partitioned into distinct powers of 3, 5 and 7, all with positive exponents.
%C Comment from _Don Reble_, Apr 05 2010: This appears to be a finite sequence. It's straightforward to show that a(377)=40876617, and that there are no more terms below 41583755582761723342524882185. After that, I'm stuck.
%e 6 is here because 3+3 doesn't count (not all distinct); 5+1 doesn't count (zero exponent).
%e 2271 is not a member because 2271 = 3^1+3^2+3^3+3^4+3^5+3^6 + 5^1+5^2+5^3+5^4 + 7^1+7^2+7^3
%Y Cf. A174656.
%K nonn
%O 1,2
%A _Wouter Meeussen_, Mar 20 2010
%E Edited by _Don Reble_, Apr 05 2010
|
