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A055932(n) divided by product of all primes less than the greatest prime factor of A055932(n).
3

%I #9 Feb 06 2020 19:07:32

%S 1,2,4,3,8,6,16,9,12,5,32,18,24,27,10,64,36,15,48,54,20,128,72,25,81,

%T 30,96,7,108,40,256,45,144,50,162,60,192,14,216,75,80,243,512,90,288,

%U 100,21,324,120,125,384,135,28,432,150,160,486,1024,35,180,576,200,42,648

%N A055932(n) divided by product of all primes less than the greatest prime factor of A055932(n).

%C Shifted right, this is a permutation of the positive integers.

%H Michael De Vlieger, <a href="/A124833/b124833.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A055932(n) / A034386(A006530(A055932(n))-1). If A055932(n) = Product_{i=1}^k Prime(k)^e_k (with the e_i's all nonzero, by definition), then a(n) = (Product_{i=1}^{k-1} Prime(k)^{e_k-1}) * Prime(k)^e_k.

%F a(1) = 1; a(n) = A055932(n) / A002110(n - 1). - _Michael De Vlieger_, Feb 06 2020

%t Map[Times @@ MapIndexed[Prime[First@ #2]^#1 &, # - Append[ConstantArray[1, Length[#] - 1], 0]] &, Map[If[# == 1, {0}, Function[f, ReplacePart[Table[0, {PrimePi[f[[-1, 1]]]}], #] &@ Map[PrimePi@ First@ # -> Last@ # &, f]]@ FactorInteger@ #] &, Import["https://oeis.org/A055932/b055932.txt", "Data"][[1 ;; 64, -1]]]] (* _Michael De Vlieger_, Feb 06 2020, using b-file at A055932 *)

%Y Cf. A055932, A034386, A006530.

%K nonn

%O 1,2

%A _Franklin T. Adams-Watters_, Nov 09 2006