How many integers from 1 to 40 can you form using all 4 digits 2, 0, 1, and 7 exactly once each; the operators +, –, ×, /, ^, concatenation and ! ?

Any number of parenthesis may be used.

Examples: 1=217^0;
2=2+0*17;
3=21/7+0
...

etc

Team work (adding so far unresolved numbers ) encouraged.

(In reply to re(2): computer results (spoilers) extended by Charlie)

If we add subfactorial as a use of ! then 38 and 44 also become possible:

Posted by Brian Smith on 2017-06-24 17:49:15