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 A316750 #12 Jul 13 2018 08:24:04 %S A316750 1,2,4,8,16,32,46,92,841,1268,2356,1247,9442,14888,97762,955421, %T A316750 1910842,1234688,2346679,3345689,9876631,12235679,12344578,12456689, %U A316750 98743321,124466789,233457889,145667789,123355789,877654211,1755308422,8665443110,88763322100,1224456677,1233444589,2466889178 %N A316750 A self-"read and extend" sequence built following the rules visible in the Comments section. %C A316750 Start with a(1) = 1 and a(2) = 2; read the sequence digit by digit starting from the left: %C A316750 when the read digit is smaller than the next one, double the last integer of the sequence and extend the sequence with the result rearranged (smallest digits first and leading zeros erased); %C A316750 when the read digit is bigger than the next one, double the last integer of the sequence and extend the sequence with the result rearranged (biggest digits first, zeros at the end); %C A316750 when both digits are equal, double the last integer of the sequence and extend the sequence with the simple result (no rearrangement). %H A316750 Jean-Marc Falcoz, <a href="/A316750/b316750.txt">Table of n, a(n) for n = 1..10002</a> %e A316750 As the only digit of a(1) = 1 is smaller than 2 (the next digit), we extend the sequence with 4 (that is 2 times 2); %e A316750 as the only digit of a(2) = 2 is smaller than 4 (the next digit), we extend the sequence with 8 (that is 2 times 4); %e A316750 as the only digit of a(3) = 4 is smaller than 8 (the next digit), we extend the sequence with 16 (that is 2 times 8 -- with 1 coming before 6); %e A316750 as the only digit of a(4) = 8 is bigger than 1 (the next digit), we extend the sequence with 32 (that is 2 times 16 -- with 3 coming before 2); %e A316750 as the first digit of a(5) = 1 is smaller than 6 (the next digit), we extend the sequence with 46 (that is 2 times 32 = 64 that is rearranged in 46); %e A316750 as the last digit of a(5) = 6 is bigger than 3 (the next digit), we extend the sequence with 92 (that is 2 times 46 = 92 rearranged in 29); %e A316750 . . . %e A316750 as the last digit of a(9) = 1 is equal to 1 (the next digit), we extend the sequence with 1910842 (this is simply 2 times 955421, with no rearrangement); %e A316750 etc. %Y A316750 Cf. A316749 (for another set of "read and extend" rules). %K A316750 base,nonn %O A316750 1,2 %A A316750 _Jean-Marc Falcoz_ and _Eric Angelini_, Jul 12 2018