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 A280450 #19 Jan 14 2017 07:56:49 %S A280450 4,8,9,14,22,21,16,32,27,26,46,33,38,58,62,44,39,57,45,55,49,52,94,86, %T A280450 64,106,75,63,118,77,74,104,134,92,142,91,82,93,158,162,166,128,116, %U A280450 115,95,99,111,119,122,125,206,112,214,133,117,145,178,135,153,242 %N A280450 Smallest k > 2n+1 such that phi(k) = phi(2n+1). %C A280450 All terms are composite. %H A280450 Robert Israel, <a href="/A280450/b280450.txt">Table of n, a(n) for n = 1..10000</a> %F A280450 2n+1 < a(n) < 4n+3. %F A280450 From _Robert Israel_, Jan 03 2017: (Start) %F A280450 a(n)=2n+2 if and only if 2n+1 is in A001274. %F A280450 If n > 3 is in A005384, then a(n)=4n+2. (End) %p A280450 f:= n -> min(select(`>`,numtheory:-invphi(numtheory:-phi(2*n+1)),2*n+1)): %p A280450 map(f, [$1..100]); # _Robert Israel_, Jan 03 2017 %t A280450 Table[k = 2 n + 2; While[EulerPhi@ k != #, k++] &@ EulerPhi[2 n + 1]; k, {n, 120}] (* _Michael De Vlieger_, Jan 03 2017 *) %o A280450 (PARI) a(n) = my(k=2*n+2); while(eulerphi(k)!=eulerphi(2*n+1), k++); k \\ _Felix Fröhlich_, Jan 05 2017 %Y A280450 Cf. A000010, A001274, A005384, A140141. %K A280450 nonn %O A280450 1,1 %A A280450 _Thomas Ordowski_, Jan 03 2017