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A204851
Triangle by rows relating to A005773
0
1, 1, 1, 2, 2, 1, 5, 5, 2, 1, 13, 13, 6, 2, 1, 35, 35, 16, 7, 2, 1, 96, 96, 45, 19, 8, 2, 1, 267, 267, 126, 56, 22, 9, 2, 1, 750, 750, 357, 160, 68, 25, 10, 2, 1, 2123, 2123, 1016, 463, 198, 81, 28, 11, 2, 1, 6046, 6046, 2907, 1337, 586, 240, 95, 31, 12, 2, 1
OFFSET
0,4
COMMENTS
Left border = A005773. Row sums = A005773 with offset 1
FORMULA
n-th row of the triangle is the top row of M^n, deleting the zeros; where M = the infinite square production matrix:
1, 1, 0, 0, 0, 0, 0,...
1, 1, 1, 0, 0, 0, 0,...
1, 1, 0, 1, 0, 0, 0,...
1, 1, 1, 0, 1, 0, 0,...
1, 1, 1, 1, 0, 1, 0,...
1, 1, 1, 1, 1, 0, 1,...
1, 1, 1, 1, 1, 1, 0,...
...
EXAMPLE
First few rows of the triangle =
1;
1, 1;
2, 2, 1;
5, 5, 2, 1;
13, 13, 6, 2, 1;
35, 35, 16, 7, 2, 1;
96, 96, 45, 19, 8, 2, 1;
267, 267, 126, 56, 22, 9, 2, 1;
750, 750, 357, 160, 68, 25, 10, 2, 1;
2123, 2123, 1016, 463, 198, 81, 28, 11, 2, 1;
6046, 6046, 2907, 1337, 586, 240, 95, 31, 12, 2, 1;
...
Row 3 = (5, 5, 2, 1) since the top row of M^3 = [5, 5, 2, 1, 0, 0, 0,...]
CROSSREFS
Sequence in context: A176265 A187307 A280785 * A114292 A333724 A178518
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Jan 19 2012
STATUS
approved