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A359880 a(n) is the smallest Fibonacci n-step number with exactly n prime factors (counted with multiplicity).

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%I A359880 #7 Feb 16 2025 08:34:04
%S A359880 21,44,56,120,1936,2000,2035872,32512,265816832,523008,8565824256,
%T A359880 67047424,134156288,1073463296,35176050802688,8589344768,
%U A359880 562914520154112,18013762856812544,144112508021833728,2305819919496904704,1099509006336,137438822400
%N A359880 a(n) is the smallest Fibonacci n-step number with exactly n prime factors (counted with multiplicity).
%H A359880 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Fibonaccin-StepNumber.html">Fibonacci n-Step Number</a>
%H A359880 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimeFactor.html">Prime Factor</a>
%e A359880 a(3) = 44, because 44 is a tribonacci number with 3 prime factors (counted with multiplicity) {2, 2, 11} and this is the smallest such number.
%Y A359880 Cf. A001222, A072397, A359852, A359876, A359877, A359881.
%K A359880 nonn
%O A359880 2,1
%A A359880 _Ilya Gutkovskiy_, Jan 16 2023