Odd Numbers with missing multiples of a number

Hi guys, trying to figure out how to create a function that will allow me get all odd numbers but skip multiples of 3? Also would like to achieve this without adding a for loop. These are the tests:

Any help to set me on track would be appreciated

This is the code I have so far:

function out = oddsNoFives(a)

x = 1:2:a;

disp(x)

if mod(x,10)~=3

disp(x)

end

end

Im just trying to create the basic array from 1 to a to start with then work my way up from there. I dont understand why my "if mod(x,10)~=3" is not working properly either. Not very fluent so just trying to get tips but i understand the math involved

Answer 1

[madhan ravi]

I leave the understanding part to the reader to understand whats going on:

oddsNoFives=@(x,y)nonzeros((~sum(~mod(1:x,[2;y]),1)).*(1:x)).'
% Calling the function
oddsNoFives(30,[])
oddsNoFives(30,5)
oddsNoFives(30,7)

[madhan ravi]

Prerequisites:

https://in.mathworks.com/help/matlab/matlab_prog/anonymous-functions.html

https://in.mathworks.com/help/matlab/ref/mod.html?s_tid=doc_ta

https://in.mathworks.com/help/matlab/ref/sum.html?searchHighlight=sum&s_tid=doc_srchtitle

https://in.mathworks.com/company/newsletters/articles/matrix-indexing-in-matlab.html

https://blogs.mathworks.com/loren/2013/02/20/logical-indexing-multiple-conditions/ - one of my favorite blogs

https://in.mathworks.com/help/matlab/matlab_prog/matlab-operators-and-special-characters.html - Tilde (not())