cp's OEIS Frontend

First differs from its subsequence A004709 and from A344742 at n = 55: a(55) = 64 = 2^6 is not a term of A004709 and A344742.

Numbers k such that A376885(k) = A001221(k).

The asymptotic density of this sequence is Product_{p prime} (1 - 1/p^3 + (1 - 1/p) * (Sum_{k>=3} 1/p^(k!))) = 0.84018238588352905855... .

First differs from A138302 and A270428 at n = 57: a(57) = 64 is not a term of A138302 and A270428.

First differs from A337052 at n = 193: A337052(193) = 216 is not a term of this sequence.

First differs from A335275 at n = 227: A335275(227) = 256 is not a term of this sequence.

First differs from A220218 at n = 903: A220218(903) = 1024 is not a term of this sequence.

Numbers k such that A376886(k) = A001221(k).

The asymptotic density of this sequence is Product_{p prime} (1 - 1/p^3 + (1 - 1/p) * (Sum_{k>=3} 1/p^A051683(k))) = 0.87902453718626485582... .

a(n) = A096432(n-1) for 2<=n<380, but then the sequences start to differ: A096432 contains 432, 648, 1024, 1728, 2000, 2160,... which are not in this sequence. - R. J. Mathar, Oct 15 2024

Numbers that are "powerful" when they are factorized into factors of the form p^(k!), where p is a prime and k >= 1, a factorization that is done using the factorial-base representation of the exponents in the prime factorization (see A376885 for more details). Each factor p^(k!) has a multiplicity that is larger than 1.