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.
%I A358763 #17 Apr 18 2025 18:00:58 %S A358763 8,12,18,20,27,28,30,42,44,45,50,52,63,66,68,70,75,76,78,92,98,99,102, %T A358763 105,110,114,116,117,124,125,128,130,138,147,148,153,154,164,165,170, %U A358763 171,172,174,175,182,186,188,190,192,195,207,212,222,230,231,236,238,242,244,245,246,255,258,261,266 %N A358763 Numbers k for which bigomega(k) == 3 (mod 4). %C A358763 Numbers k such that number of their prime factors (when counted with multiplicity, with A001222) is of the form 4n+3: 3, 7, 11, 15, 19, ..., A004767. %C A358763 Equally, numbers k for which A349905(k) == 3 (mod 4). %H A358763 Robert Israel, <a href="/A358763/b358763.txt">Table of n, a(n) for n = 1..10000</a> %F A358763 {k | A010873(A349905(k)) = 3}. %e A358763 128 = 2^7 has 7 prime factors in total, and 7 is a number of the form 4n+3 (in A004767), therefore 128 is included in this sequence. Or equivalently, because A349905(128) = 5103 = 4*1275 + 3. %p A358763 filter:= n -> numtheory:-bigomega(n) mod 4 = 3: %p A358763 select(filter, [$1..1000]); # _Robert Israel_, Nov 29 2023 %t A358763 Select[Range[300],Mod[PrimeOmega[#],4]==3&] (* _Harvey P. Dale_, Apr 18 2025 *) %o A358763 (PARI) isA358763(n) = A358753(n); %Y A358763 Cf. A001222, A003415, A003961, A004767, A010051, A010873, A349905, A358753 (characteristic function). %Y A358763 Setwise difference A026424 \ A358761. %Y A358763 Cf. also A358760, A358762. %Y A358763 Differs from its subsequences A014612, A212582 and A226527 for the first time at n=31, as a(31) = 128 is not present in those three sequences. %K A358763 nonn %O A358763 1,1 %A A358763 _Antti Karttunen_, Nov 29 2022