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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A268378 Numbers whose prime factorization includes at least one prime factor of form 4k+3 and any prime factor of the form 4k+1 has even multiplicity.

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%I A268378 #14 Feb 05 2016 20:48:41
%S A268378 3,6,7,9,11,12,14,18,19,21,22,23,24,27,28,31,33,36,38,42,43,44,46,47,
%T A268378 48,49,54,56,57,59,62,63,66,67,69,71,72,75,76,77,79,81,83,84,86,88,92,
%U A268378 93,94,96,98,99,103,107,108,112,114,118,121,124,126,127,129,131,132,133,134,138,139,141,142,144,147,150
%N A268378 Numbers whose prime factorization includes at least one prime factor of form 4k+3 and any prime factor of the form 4k+1 has even multiplicity.
%C A268378 Closed under multiplication.
%H A268378 Antti Karttunen, <a href="/A268378/b268378.txt">Table of n, a(n) for n = 1..10000</a>
%e A268378 6 = 2*3 is included, as there is a prime factor of the form 4k+3 present.
%e A268378 75 = 3 * 5 * 5 is included, as there is a prime factor of the form 4k+3 present and the prime factor of the form 4k+1 (5) is present twice.
%t A268378 Select[Range@ 150, AnyTrue[#, Mod[First@ #, 4] == 3 &] && NoneTrue[#, And[Mod[First@ #, 4] == 1, OddQ@ Last@ #] &] &@ FactorInteger@ # &] (* _Michael De Vlieger_, Feb 04 2016, Version 10 *)
%o A268378 (Scheme, with _Antti Karttunen_'s IntSeq-library)
%o A268378 (define A268378 (MATCHING-POS 1 1 (lambda (n) (and (even? (A267113 n)) (not (zero? (A065339 n)))))))
%o A268378 (PARI) isok(n) = {my(f = factor(n), nb3 = 0); for (i=1, #f~, if (((f[i,1] % 4) == 1) && (f[i,2] % 2), return (0)); if ((f[i,1] % 4) == 3, nb3++);); return (nb3);} \\ _Michel Marcus_, Feb 04 2016
%Y A268378 Cf. A065339, A267113.
%Y A268378 Cf. A004431, A267099.
%Y A268378 Subsequence of A268377.
%Y A268378 Differs from A221264 for the first time at n=38, which here is a(38) = 75, a value missing from A221264.
%K A268378 nonn
%O A268378 1,1
%A A268378 _Antti Karttunen_, Feb 03 2016