OFFSET
0,5
COMMENTS
Row sums,A167270:(1, 2, 4, 6, 10, 15, 24, 37,...) tend to phi, 1.618...;
e.g. 2592/1604 = 1.61596...
FORMULA
Given Pascal's triangle columns >0, insert 1's as alternate columns.
EXAMPLE
First few rows of the triangle =
1;
1, 1;
1, 2, 1;
1, 3, 1, 1;
1, 4, 1, 3, 1;
1, 5, 1, 6, 1, 1;
1, 6, 1, 10, 1, 4, 1;
1, 7, 1, 15, 1, 10, 1, 1;
1, 8, 1, 21, 1, 20, 1, 5, 1;
1, 9, 1, 28, 1, 35, 1, 15, 1, 1;
1, 10, 1, 36, 1, 56, 1, 35, 1, 6, 1;
1, 11, 1, 45, 1, 84, 1, 70, 1, 21, 1, 1;
1, 12, 1, 55, 1, 120, 1, 126, 1, 56, 1, 7, 1;
1, 13, 1, 66, 1, 165, 1, 210, 1, 126, 1, 28, 1, 1;
1, 14, 1, 78, 1, 220, 1, 330, 1, 252, 1, 84, 1, 8, 1;
1, 15, 1, 91, 1, 286, 1, 495, 1, 462, 1, 210, 1, 36, 1, 1;
1, 16, 1, 105, 1, 364, 1, 715, 1, 792, 1, 461, 1, 120, 1, 9, 1;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson&Mats Granvik,Oct 31 2009
STATUS
approved