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for n in [1..20]: factorial(n),2^n
(1, 2) (2, 4) (6, 8) (24, 16) (120, 32) (720, 64) (5040, 128) (40320, 256) (362880, 512) (3628800, 1024) (39916800, 2048) (479001600, 4096) (6227020800, 8192) (87178291200, 16384) (1307674368000, 32768) (20922789888000, 65536) (355687428096000, 131072) (6402373705728000, 262144) (121645100408832000, 524288) (2432902008176640000, 1048576)
for n in [1..20]: factorial(n),n^n
(1, 1) (2, 4) (6, 27) (24, 256) (120, 3125) (720, 46656) (5040, 823543) (40320, 16777216) (362880, 387420489) (3628800, 10000000000) (39916800, 285311670611) (479001600, 8916100448256) (6227020800, 302875106592253) (87178291200, 11112006825558016) (1307674368000, 437893890380859375) (20922789888000, 18446744073709551616) (355687428096000, 827240261886336764177) (6402373705728000, 39346408075296537575424) (121645100408832000, 1978419655660313589123979) (2432902008176640000, 104857600000000000000000000)