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A283670 The single square referenced in A190641. 2
4, 4, 9, 4, 4, 9, 4, 4, 25, 9, 4, 4, 4, 4, 9, 4, 49, 25, 4, 9, 4, 4, 9, 4, 4, 25, 4, 4, 9, 4, 4, 9, 4, 4, 49, 9, 4, 4, 4, 9, 4, 121, 4, 25, 9, 4, 4, 9, 4, 4, 49, 4, 25, 4, 9, 4, 4, 9, 4, 4, 169, 9, 4, 25, 4, 4, 4, 9, 4, 9, 4, 9, 4, 4, 4, 4, 4, 4, 9, 4, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
a(n) = A283671(n)^2 = A249739(A190641(n))^2. - Amiram Eldar, Jul 28 2024
EXAMPLE
A190641(4) = 12, 12 = 2*2*3, so 12 has only one square factor, namely 4.
MATHEMATICA
f[n_] := Module[{f = FactorInteger[n], ind}, ind = Position[f[[;; , 2]], _?(# > 1 &)]; If[Length[ind] == 1, f[[ind[[1, 1]], 1]]^2, Nothing]]; Array[f, 300] (* Amiram Eldar, Jul 28 2024 *)
PROG
(PARI) lista(kmax) = for(k = 1, kmax, my(f = factor(k)); if(#select(x -> (x>1), f[, 2]) == 1, for(i = 1, #f~, if(f[i, 2] > 1, print1(f[i, 1]^2, ", "); break)))); \\ Amiram Eldar, Jul 28 2024
CROSSREFS
Sequence in context: A097667 A202388 A283919 * A019627 A137617 A345732
KEYWORD
nonn
AUTHOR
Robert Price, Mar 13 2017
STATUS
approved

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Last modified August 18 20:16 EDT 2024. Contains 375274 sequences. (Running on oeis4.)