A380318 Product of the first n perfect powers (A001597).

1, 1, 4, 32, 288, 4608, 115200, 3110400, 99532800, 3583180800, 175575859200, 11236854988800, 910185254092800, 91018525409280000, 11013241574522880000, 1376655196815360000000, 176211865192366080000000, 25374508587700715520000000, 4288291951321420922880000000, 840505222458998500884480000000, 181549128051143676191047680000000

Offset

0,3

Links

Table of n, a(n) for n=0..20.

Eric Weisstein's World of Mathematics, Perfect Power.

Mathematica

Join[{1}, FoldList[Times, Join[{1}, Select[Range[250], GCD@@FactorInteger[#][[All, 2]]>1&]]]] (* Harvey P. Dale, May 03 2025 *)

Crossrefs

Cf. A000442, A001044, A001597, A002110, A024923, A036691, A076408, A111059.

Sequence in context: A372464 A366663 A110901 * A385380 A295538 A256183

Adjacent sequences: A380315 A380316 A380317 * A380319 A380320 A380321

Keyword

nonn

Author

Ilya Gutkovskiy, Jan 20 2025

Status

approved