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A333408 Numbers k such that s(k) = s(k+1), where s(k) is the unitary analog of the alternating sum-of-divisors function (A307037). 1

%I #8 Mar 20 2020 09:08:28

%S 1,11,71,155,194,204,1119,1420,1628,3705,5186,14363,19788,20467,25180,

%T 25545,25843,28251,30804,42811,60204,63180,71791,73260,83600,87219,

%U 87308,91539,97432,99208,100456,100471,119315,122616,132308,135340,135864,164691,166624

%N Numbers k such that s(k) = s(k+1), where s(k) is the unitary analog of the alternating sum-of-divisors function (A307037).

%H Amiram Eldar, <a href="/A333408/b333408.txt">Table of n, a(n) for n = 1..1000</a>

%e 1 is a term since s(1) = s(2) = 1;

%e 11 is a term since s(11) = s(12) = 10;

%t f[p_, e_] := p^e + (-1)^e; s[1] = 1; s[n_] := Times @@ f @@@ FactorInteger[n]; seq = {}; s1 = 1; Do[s2 = s[n]; If[s1 == s2, AppendTo[seq, n - 1]]; s1 = s2, {n, 2, 10^5}]; seq

%Y The unitary version of A206368.

%Y Cf. A206369, A307037.

%K nonn

%O 1,2

%A _Amiram Eldar_, Mar 19 2020

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Last modified April 25 06:49 EDT 2024. Contains 371964 sequences. (Running on oeis4.)