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%I #8 Oct 24 2020 17:26:11
%S 4,14,28,164,434,574,1106,5084,5572,7874,8386,13454,13694,19964,21988,
%T 33166,39934,40132,95122,103886,113918,148994,157604,215326,216124,
%U 256004,277564,306404,341342,366148,571154,660674,662494,764956,771374,876644,981646,1070926
%N Even composites m such that A003499(m)==6 (mod m).
%C If p is a prime, then A003499(p)==6 (mod p).
%C This sequence contains the even composite integers for which the congruence holds.
%C The generalized Pell-Lucas sequence of integer parameters (a,b) defined by V(m+2)=a*V(m+1)-b*V(m) and V(0)=2, V(1)=a, satisfy the identity V(p)==a (mod p) whenever p is prime and b=-1,1.
%C For a=6 and b=1, V(m) recovers A003499(m).
%D D. Andrica, O. Bagdasar, Recurrent Sequences: Key Results, Applications and Problems. Springer (2020)
%D D. Andrica, O. Bagdasar, On some new arithmetic properties of the generalized Lucas sequences, Mediterr. J. Math. (to appear, 2021)
%t Select[Range[2, 25000, 2], CompositeQ[#] && Divisible[2*ChebyshevT[#, 3] - 6, #] &]
%Y Cf. A337233 (sequence of odd terms), A337777 (a=3).
%K nonn
%O 1,1
%A _Ovidiu Bagdasar_, Oct 22 2020
%E More terms from _Amiram Eldar_, Oct 22 2020
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