%I #6 Jan 19 2023 11:09:35
%S 1,2,4,44,24,5768,504,10562230626642,3136,7046319384,615693474,
%T 53798080,4680045560037375,35574238430251050319992,
%U 4659412488735286161146176,23523635785731871586396890786299881280,79932289960699059086717998848
%N a(n) is the smallest tribonacci number (A000073) with exactly n prime factors (counted with multiplicity).
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PrimeFactor.html">Prime Factor</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/TribonacciNumber.html">Tribonacci Number</a>
%e a(5) = 5768, because 5768 is a tribonacci number with 5 prime factors (counted with multiplicity) {2, 2, 2, 7, 103} and this is the smallest such number.
%Y Cf. A000073, A001222, A072397, A359848, A359877, A359878.
%K nonn
%O 0,2
%A _Ilya Gutkovskiy_, Jan 16 2023