A330043 Product of largest prime power factors of numbers <= n.

1, 1, 2, 6, 24, 120, 360, 2520, 20160, 181440, 907200, 9979200, 39916800, 518918400, 3632428800, 18162144000, 290594304000, 4940103168000, 44460928512000, 844757641728000, 4223788208640000, 29566517460480000, 325231692065280000, 7480328917501440000, 59842631340011520000

Offset

0,3

Comments

Partial products of A034699.

Links

Table of n, a(n) for n=0..24.

Formula

A001221(a(n)) = A000720(n).

Mathematica

a[n_] := Product[Max[#[[1]]^#[[2]] & /@ FactorInteger@k], {k, 1, n}]; Table[a[n], {n, 0, 24}]

Crossrefs

Cf. A000720, A000961, A001221, A034699, A048803, A104350, A210208, A246655, A284521.

Sequence in context: A178010 A366368 A355988 * A062348 A189856 A189567

Adjacent sequences: A330040 A330041 A330042 * A330044 A330045 A330046

Keyword

nonn

Author

Ilya Gutkovskiy, Nov 28 2019

Status

approved