A250270 Products of terms of A003418.

1, 2, 4, 6, 8, 12, 16, 24, 32, 36, 48, 60, 64, 72, 96, 120, 128, 144, 192, 216, 240, 256, 288, 360, 384, 420, 432, 480, 512, 576, 720, 768, 840, 864, 960, 1024, 1152, 1296, 1440, 1536, 1680, 1728, 1920, 2048, 2160, 2304, 2520, 2592, 2880, 3072, 3360, 3456

Offset

1,2

Comments

Includes all factorials and Jordan-Polya numbers, since n! = Product_{i = 1..n} A003418(floor(n/i)) for positive n.

Links

Michel Marcus, Table of n, a(n) for n = 1..5000

Example

720 = 2*6*60 = 12*60. Since 2, 6, 12 and 60 are all terms of A003418, 720 is a term of this sequence.

Prog

(PARI) f(n) = lcm(vector(n, i, i)); \\ A003418
mul(x, y) = x*y;
lista(nn) = {my(v = vector(nn, k, f(k)), lim = f(nn+1), ok = 0, nv); while (!ok,  nv = select(x->(x<lim), setbinop(mul, v)); ok = (#v == #nv); v = nv; ); v; }
lista(30); \\ to get 5000 terms; Michel Marcus, May 09 2021

Crossrefs

Range of values of A253139. Subsequences include A000142, A001013, A001813, A025527, A064350, A166338, A250569.

Subsequence of A025487.

Sequence in context: A344385 A070175 A096850 * A062847 A001013 A115746

Adjacent sequences: A250267 A250268 A250269 * A250271 A250272 A250273

Keyword

nonn

Author

Matthew Vandermast, Dec 16 2014

Status

approved