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A087244 Nonsquarefree deficient numbers. 6

%I #23 Apr 28 2021 10:11:08

%S 4,8,9,16,25,27,32,44,45,49,50,52,63,64,68,75,76,81,92,98,99,116,117,

%T 121,124,125,128,135,136,147,148,152,153,164,169,171,172,175,184,188,

%U 189,207,212,225,232,236,242,243,244,245,248,250,256,261,268,275,279

%N Nonsquarefree deficient numbers.

%H Michael De Vlieger, <a href="/A087244/b087244.txt">Table of n, a(n) for n = 1..10000</a>

%e m = 45 - 3*3*5 and sigma(45) = 78 < 2m = 90.

%t Select[Range@ 280, And[! SquareFreeQ@ #, DivisorSigma[1, #] < 2 #] &] (* _Michael De Vlieger_, Mar 25 2017 *)

%o (PARI) isok(n) = !issquarefree(n) && (sigma(n) < 2*n); \\ _Michel Marcus_, Dec 18 2013

%o (Python)

%o from sympy import divisor_sigma

%o from sympy.ntheory.factor_ import core

%o print([n for n in range(1,301) if core(n) != n and divisor_sigma(n)<2*n]) # _Indranil Ghosh_, Mar 26 2017

%Y Cf. A087245, A087246, A087247, A008683, A000203, A013929, A005117, A005100, A005101.

%K nonn

%O 1,1

%A _Labos Elemer_, Sep 05 2003

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Last modified July 16 19:40 EDT 2024. Contains 374358 sequences. (Running on oeis4.)