A359849 a(n) is the smallest tetranacci number (A000078) with exactly n distinct prime factors.

1, 2, 15, 1490, 39648, 28074040, 100808458960497, 9966792788887776, 4997150614173857218560, 1835682610171974487231869, 889487735339682550112673527109223032, 52499930084496170026238596234557616056408988199026780675759699719704592

Offset

0,2

Links

Table of n, a(n) for n=0..11.

Eric Weisstein's World of Mathematics, Distinct Prime Factors

Eric Weisstein's World of Mathematics, Tetranacci Number

Formula

a(n) = A000078(A359851(n)). - Daniel Suteu, Jan 18 2023

Example

a(4) = 39648, because 39648 is a tetranacci number with 4 distinct prime factors {2, 3, 7, 59} and this is the smallest such number.

Crossrefs

Cf. A000078, A001221, A060319, A359848, A359851.

Sequence in context: A007467 A132317 A068409 * A096232 A193869 A320768

Adjacent sequences: A359846 A359847 A359848 * A359850 A359851 A359852

Keyword

nonn

Author

Ilya Gutkovskiy, Jan 15 2023

Extensions

a(11) from Daniel Suteu, Jan 18 2023

Status

approved