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A124833 A055932(n) divided by product of all primes less than the greatest prime factor of A055932(n). 3
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, 30, 96, 7, 108, 40, 256, 45, 144, 50, 162, 60, 192, 14, 216, 75, 80, 243, 512, 90, 288, 100, 21, 324, 120, 125, 384, 135, 28, 432, 150, 160, 486, 1024, 35, 180, 576, 200, 42, 648 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Michael De Vlieger, Table of n, a(n) for n = 1..10000

FORMULA

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.

a(1) = 1; a(n) = A055932(n) / A002110(n - 1). - Michael De Vlieger, Feb 06 2020

MATHEMATICA

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 *)

CROSSREFS

Cf. A055932, A034386, A006530.

Sequence in context: A153212 A244981 A284571 * A181815 A324931 A168521

Adjacent sequences:  A124830 A124831 A124832 * A124834 A124835 A124836

KEYWORD

nonn

AUTHOR

Franklin T. Adams-Watters, Nov 09 2006

STATUS

approved

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Last modified August 14 13:43 EDT 2022. Contains 356117 sequences. (Running on oeis4.)