cp's OEIS Frontend

A278816 Numbers that can be produced from their own digits by applying one or more of the eight operations {+, -, *, /, sqrt(), ^, !, concat11()}, with no operation used more than once, where "concat11()" means the operation of concatenating two single digits.

%I A278816 #36 Dec 03 2016 12:29:40
%S A278816 0,1,2,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,
%T A278816 31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
%U A278816 54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84
%N A278816 Numbers that can be produced from their own digits by applying one or more of the eight operations {+, -, *, /, sqrt(), ^, !, concat11()}, with no operation used more than once, where "concat11()" means the operation of concatenating two single digits.
%C A278816 Extending the sequence will soon become impractical without a program to check every possible way to apply one or more of the eight operations. - Editors, Dec 03 2016
%H A278816 Matematico Fresnillense, <a href="http://matematicofresnillense.blogspot.mx">Reto Matematico Interesante (In Spanish)</a>.
%e A278816     0 is a term because      sqrt(0) = 0;
%e A278816    24 is a term because (2+sqrt(4))! = 24;
%e A278816    25 is a term because          5^2 = 25;
%e A278816   343 is a term because      (3+4)^3 = 343.
%K A278816 nonn,base
%O A278816 1,3
%A A278816 _José de Jesús Camacho Medina_, Nov 28 2016