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 A345879 #14 Nov 08 2021 04:31:57 %S A345879 5,12,21,40,37,39,4,4,1,2,3,4,31,4,3,4,14,4,8,4,3,4,14,5,26,2,22,5,4, %T A345879 4,14,31,4,3,4,14,5,4,4,14,14,2,14,4,5,4,4,14,5,6,4,14,5,16,5,26,22,4, %U A345879 4,5,6,4,14,5,16,14,2,14,4,5,26,2,22,5,16,17,14,4,5,26,2,22,5,16,31,4,3,4,14,1,17,22,5 %N A345879 Lexicographically earliest sequence such that the English names of the entries form the sequence A000040 (the prime numbers). See how in the Comments section. %C A345879 The first English names of the sequence are: %C A345879 FIVE, TWELVE, TWENTY-ONE, FORTY, THIRTY-SEVEN, THIRTY-NINE, FOUR, FOUR, ONE, TWO, THREE, FOUR, THIRTY-ONE, FOUR, THREE, FOUR, FOURTEEN, FOUR, EIGHT, FOUR, THREE, FOUR, FOURTEEN, FIVE, TWENTY-SIX, TWO, TWENTY-TWO,... %C A345879 If we now take the 5th letter of the above English sequence (T), the 12th (W) and the 21st (O) we spell T.W.O. and 2 is the first term of A000040 (the prime numbers). We then take the 40th letter of the sequence (T), the 37th (H), the 39th (R), the 4th (E) and the 4th again (E) to form T.H.R.E.E. and 3 is the next term of A000040. The letters in position 1, 2, 3 and 4 will spell F.I.V.E. and 5 is the next term of A000040. Etc. %C A345879 We are allowed to use the same letter many times (like the 4th one, E, for instance) to form a new name. The sequence A345714 forbids such repetitions. %C A345879 No obvious pattern appears in the sequence, although the set of names is limited. %Y A345879 Cf. A131744, A345711, A345712, A345713, A345714 and A345715. %K A345879 nonn,word %O A345879 1,1 %A A345879 _Eric Angelini_ and _Carole Dubois_, Jun 28 2021