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 A175767 #7 Mar 23 2024 11:33:08
%S A175767 3,5,5,7,6,10,11,13,10,14,17,19,12,20,21,25,22,26,20,28,29,31,34,38,
%T A175767 35,39,24,40,41,43,42,50,44,52,51,55,40,56,59,61,58,62,65,69,71,73,68,
%U A175767 76,70,78,48,80,82,86,87,91,91,95,84,100,101,103,88,104,107,109,102,110,80,112,111
%N A175767 List of pairs of "twin numbers": Omega(n) = Omega(n - 2^Omega(n)), where Omega is A001222.
%C A175767 The k-primes = numbers that are divisible by exactly k primes (counted with multiplicity).
%F A175767 a(2n+1) = A175766(n) = a(2n) + 2^A001222(a(2n+1)).
%e A175767 "Twin numbers" are (3, 5), (5, 7), (6, 10), (11, 13), (10, 14), (17, 19), (12, 20), (21, 25), (22, 26), (20, 28), (29, 31), (34, 38), (35, 39), (24, 40), (41, 43), (42, 50), (44, 52), (51, 55), (40, 56), (59, 61), (58, 62), (65, 69), (71, 73), ...
%t A175767 Flatten[{#[[3]],#[[1]]}&/@Select[Table[{n,PrimeOmega[n],n-2^PrimeOmega[n],PrimeOmega[ n-2^PrimeOmega[n]]},{n,150}],#[[2]]==#[[4]]&]] (* _Harvey P. Dale_, Mar 23 2024 *)
%Y A175767 Cf. A175766, A001222, A077800, A175612, A175765.
%K A175767 nonn
%O A175767 1,1
%A A175767 _Juri-Stepan Gerasimov_, Sep 01 2010
%E A175767 Rewritten by _Charles R Greathouse IV_, Sep 03 2010