A330744 Primorial deflation of A133411(n), where A133411(n) is the smallest highly composite number of the form k*a(n-1) where k is an integer greater than 1.

1, 2, 4, 6, 12, 24, 40, 60, 84, 168, 336, 528, 792, 936, 1872, 2448, 2736, 4560, 5520, 8280, 11592, 23184, 29232, 31248, 62496, 74592, 124320, 137760, 144480, 157920, 315840, 356160, 559680, 623040, 644160, 966240, 1061280, 1124640, 1686960, 1734480, 2049840, 2218320, 2330640, 2499120, 4165200, 4539600, 4726800, 4820400

Offset

1,2

Comments

a(n) is the unique integer k such that A108951(k) = A133411(n).

Note that this sequence is strictly growing, even though A329902 (whose subsequence this is) is not monotonic.

Conjectured to be a subsequence of A330745.

Links

Antti Karttunen, Table of n, a(n) for n = 1..223 (computed from the 10000 term b-file of A002182 prepared from Flammenkamp's data)

Formula

a(n) = A329900(A133411(n)).

Prog

(PARI) A330744(n) = A329900(A133411(n));

Crossrefs

Cf. A002182, A108951, A133411, A329900, A329902, A330745.

Sequence in context: A333665 A355595 A050293 * A330743 A362144 A244896

Adjacent sequences: A330741 A330742 A330743 * A330745 A330746 A330747

Keyword

nonn

Author

Antti Karttunen, Jan 10 2020

Status

approved