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A282940
Largest non-infinitary divisor of A162643(n) having no non-infinitary divisors.
3
2, 3, 6, 8, 6, 10, 5, 14, 8, 6, 22, 15, 24, 7, 10, 26, 30, 21, 8, 34, 24, 15, 38, 40, 27, 42, 30, 46, 24, 14, 33, 10, 54, 56, 58, 39, 11, 62, 42, 66, 70, 24, 21, 74, 30, 51, 78, 40, 54, 82, 13, 57, 86, 35, 88, 30, 94, 24, 14, 66, 40, 102, 69, 104, 106, 110, 56
OFFSET
1,1
COMMENTS
Or largest term of A036537 dividing A162643(n) (cf. our comment in A036537).
LINKS
FORMULA
a(n) = A036537(m), where m = max{k: A036537(k)|A162643(n)}.
From Amiram Eldar, Apr 29 2024: (Start)
a(n) = A372379(A162643(n)).
Sum_{k=1..n} a(k) ~ ((c-d)/(1-d)^2) * n^2 / 2, where d = A327839 and c = 0.7907361848... is the constant in the asymptotic formula in A372379. (End)
MATHEMATICA
f[p_, e_] := p^(2^Floor[Log2[e + 1]] - 1); s[1] = Nothing; s[n_] := Module[{v = Times @@ f @@@ FactorInteger[n]}, If[v == n, Nothing, v]]; Array[s, 300] (* Amiram Eldar, Apr 29 2024 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Shevelev, Feb 25 2017
EXTENSIONS
More terms from Peter J. C. Moses, Feb 25 2017
STATUS
approved