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%I #5 Mar 23 2024 20:29:48
%S 1,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
%T 1,2,1,1,1,1,1,3,1,1,1,1,1,3,2,1,1,1,1,3,1,3,1,1,1,3,1,1,3,2,1,3,1,1,
%U 1,3,1,5,1,1,1,1,3,3,1,3,2,1,1,5,1,1,1,3,1,5,3,1,1,1,1,5
%N Number of ordered factorizations of n into factors > 5.
%F a(1) = 1; a(n) = Sum_{d|n, n/d > 5} a(d).
%e a(42) = 3: 42 = 6*7 = 7*6.
%t a[n_] := a[n] = If[n == 1, n, Sum[If[n/d > 5, a[d], 0], {d, Divisors[n]}]]; Table[a[n], {n, 1, 96}]
%Y Cf. A002033, A017900, A074206, A185326, A371209, A371211, A371212.
%K nonn
%O 1,36
%A _Ilya Gutkovskiy_, Mar 15 2024