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A105605 An Aitken-like array: see Comments for definition.

%I A105605 #5 Mar 31 2012 14:43:40
%S A105605 1,1,2,2,3,5,5,7,1,0,6,6,1,1,8,2,8,8,8,1,4,2,5,1,0,7,9,8,8,1,6,2,1,0,
%T A105605 4,6,1,4,1,3,1,0,1,2,2,1,0,2,6,4,7,4,1,1,1,0,2,5,2,3,3,5,3,5,5,7,8,8,
%U A105605 1,0,7,4,1,4,8,2,5,9,2,7,1,4,4,1,0,4,9,7,6,6,1,1,8,9,1,6,1,0,1
%N A105605 An Aitken-like array: see Comments for definition.
%C A105605 The entries are single digits.
%C A105605 - start the first row with 1
%C A105605 - a new row starts with the last digit of the previous one
%C A105605 - the successive digits on the same row are given by the 'vertical sum' operation applied to the current digit
%C A105605 - 'vertical sum': add to digit 'd' the digit exactly above 'd' and write the result at the right of 'd'
%C A105605 - if the vertical sum exceeds 9, separate the digits with a space
%C A105605 - proceed till the end of the row.
%e A105605 We see here that the 4th row shows the 'vertical sum' 7+3 = 10 to the right of 7 like this: 7,1 0.
%e A105605 The array begins:
%e A105605 1.
%e A105605 1,2.
%e A105605 2,3,5.
%e A105605 5,7,1 0,6.
%e A105605 6,1 1,8,2,8,8.
%e A105605 8,1 4,2,5,1 0,7,9,8.
%e A105605 8,1 6,2,1 0,4,6,1,4,1 3,1 0,1 2.
%e A105605 2,1 0,2,6,4,7,4,1 1,1 0,2,5,2,3,3,5,3,5.
%e A105605 5,7,8,8,1 0,7,4,1 4,8,2,5,9,2,7,1 4,4,1 0,4,9,7,6.
%e A105605 6,1 1,8,9,1 6,1 0,1,1 3,5,1,5,9,5,1 0,1 0,7,1 6,6,5,4,2,0,1 1,1 0,1 3,1 2.
%e A105605 2,8,9,1 0,9,9,1 0,1 5,2,0,2,6,5,5,3,1 1,1 4,1 0,4,1,2,1,1 1,2,6,1 0,6,6,3,1,2,3,7,1,1,9,7,5.
%e A105605 5,7,1 5,1 0,6,1,9,1 5,2,9,2,1 0,4,9,4,7,5,9,1 2,5,8,6,1 3,2,2,9,9,8,2,4,3,4,1 5,1 0,8,8,1 0,6,5,3,8,8,1,9,1 7,8,5.
%e A105605 5,1 0,8,1,1 3,2,1,9,3,1 0,1 0,8,3,9,3,1,8,7,1 8,7,8,1 3,1 6,2,1 0,1 2,1 6,7,4,4,8,4,1 0,9,9,4,5,9,1 1,5,9,9,4,9,8,1 0,...
%Y A105605 Cf. A011971, A126971.
%K A105605 nonn,tabf,base
%O A105605 1,3
%A A105605 _Eric Angelini_, Sep 29 2009