I've discovered a neat result regarding the digits of pi. Take pi!, in the sense of the gamma function:

pi! = 7.188 082 728 976 032 702 082 194 345 124 8.

Notice that the sevent'h digit is seven and the 21'st digit gives 21 (7*3). To find out if there is further such occurences I would need an algoritm to compute pi's digits. Could someone please provide a link?

Also:

pi!! = 7 380.555 557 603 103 871 505 775 122 759 9

and this has 5 in the 5'th place, 10 in the tenth position and 15 in the 15'th and it has 5 fives in the first 5 digits.

pi!!! gives "overflow" on the calculator.

pi^3 has a 6 in the 6'th digit.

log (pi) has a 13 at position 13.

ln (pi) has an 8 at position 8.

10^pi has an 11 at position 11 and a 3 at position 3 left of the decimal point.

sinh (10^pi) has a 7 at position 7.

cosh (10^pi) has a 7 at position 7.

cosh pi has a 5 at position 5.

sinh (pi!) has a 20 at position 20.

sinh pi has no digits matching in the first 32 digits.