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A051478 a(n) is the number of values k satisfying phi(k) = 4*n+2, n>0.

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%I A051478 #16 Nov 05 2024 19:00:17
%S A051478 4,2,0,4,2,0,2,0,0,4,2,0,2,2,0,2,2,0,2,2,0,0,0,0,2,2,2,0,0,0,2,2,0,2,
%T A051478 0,0,2,0,0,4,2,0,0,2,0,0,2,0,2,0,0,2,0,0,2,2,0,0,2,0,0,2,0,0,2,0,2,0,
%U A051478 0,2,0,0,2,0,0,2,2,0,0,0,0,2,0,0,2,2,0,0,2,0,2,0,0,2,2,0,0,0,0,0,0,0,0
%N A051478 a(n) is the number of values k satisfying phi(k) = 4*n+2, n>0.
%C A051478 Sequence consists of only 0's, 2's and 4's.
%H A051478 Amiram Eldar, <a href="/A051478/b051478.txt">Table of n, a(n) for n = 1..10000</a>
%H A051478 Max Alekseyev, <a href="https://oeis.org/wiki/User:Max_Alekseyev/gpscripts">PARI/GP Scripts for Miscellaneous Math Problems</a> (invphi.gp).
%e A051478 phi(k) = 4*1+2 has 4 solutions (k = 7, 9, 14, 18), so a(1) = 4.
%o A051478 (PARI) a(n) = invphiNum(4*n+2); \\ _Amiram Eldar_, Nov 05 2024, using _Max Alekseyev_'s invphi.gp
%Y A051478 Cf. A000010, A032446, A051479.
%K A051478 nonn
%O A051478 1,1
%A A051478 _Jud McCranie_