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

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

Author

Eric Angelini, Sep 29 2009

Keywords

• nonn
• tabf
• base

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.

Examples

			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

Cf. A011971, A126971.