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%I #40 Jan 15 2020 14:49:15
%S 1,2,4,3,5,7,9,6,8,2111110,2000001,11,13,15,17,20,22,24,111111110,210,
%T 10,11110,101,19,21,31,33,23,35,37,39,26,28,110,211110,12,14,103,51,
%U 2001,25,53,27,55,57,11112,212,40,16,42,1110,21110,44,111110,46,11111110,48,1111111110,21111110,2111111110,1112,18,112
%N Variation on Golomb's sequence starting with (1,2): a(n)=length of n-th run of both consecutive integers and consecutive digits with same parity.
%C Among the first 10000 terms the largest value is a(7898)=211111111111111111111111111110 and the smallest value not occurring is 29. - _Lars Blomberg_, Jan 10 2020
%H Lars Blomberg, <a href="/A327143/b327143.txt">Table of n, a(n) for n = 1..10000</a>
%e The sequence's start is reordered herunder in two ways: the first one to check the runs of consecutive integers, the second one to check the runs of consecutive digits.
%e Start = 1,2,4,3,5,7,9,6,8,2111110,2000001,11,13,15,17,...
%e #1 Golomb's variation (integers):
%e 1, ---------------> size 1 block of odd integers
%e 2,4, -------------> size 2 block of even integers
%e 3,5,7,9, ---------> size 4 block of odd integers
%e 6,8,2111110, -----> size 3 block of even integers
%e 2000001,11,13,15,17, size 5 block of odd integers
%e ...
%e #2 Golomb's variation (digits):
%e Start = 1,2,4,3,5,7,9,6,8,2111110,2000001,11,13,15,17,...
%e 1, ----> size 1 block of odd digits
%e 2,4, --> size 2 block of even digits
%e 3,5,7,9, size 4 block of odd digits
%e 6,8,2 size 3 block of even digits
%e 11111 size 5 block of odd digits
%e 0,200000 size 7 block of even digits
%e In both variations, the successive sizes rebuild the sequence.
%Y Cf. A093506 (Variation on Golomb's sequence starting with (1,2): a(n)=length of n-th run of consecutive integers with same parity).
%K base,nonn
%O 1,2
%A _Eric Angelini_ and _Lars Blomberg_, Jan 05 2020
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