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A105605
An Aitken-like array: see Comments for definition.
1
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, 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, 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
OFFSET
1,3
COMMENTS
The entries are single digits.
- start the first row with 1
- a new row starts with the last digit of the previous one
- the successive digits on the same row are given by the 'vertical sum' operation applied to the current digit
- 'vertical sum': add to digit 'd' the digit exactly above 'd' and write the result at the right of 'd'
- if the vertical sum exceeds 9, separate the digits with a space
- proceed till the end of the row.
EXAMPLE
We see here that the 4th row shows the 'vertical sum' 7+3 = 10 to the right of 7 like this: 7,1 0.
The array begins:
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 0,4,6,1,4,1 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.
5,7,8,8,1 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 0,1,1 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.
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.
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.
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,...
CROSSREFS
Sequence in context: A029039 A316185 A131429 * A237710 A090473 A113636
KEYWORD
nonn,tabf,base
AUTHOR
Eric Angelini, Sep 29 2009
STATUS
approved