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A116669
Triangle, rows tend to A001787, number of edges in n-dimensional hypercubes.
0
1, 1, 1, 1, 4, 1, 1, 4, 7, 1, 1, 4, 12, 10, 1, 1, 4, 12, 25, 13, 1, 1, 4, 12, 32, 43, 16, 1, 1, 4, 12, 32, 71, 66, 19, 1, 1, 4, 12, 32, 80, 136, 94, 22, 1
OFFSET
1,5
COMMENTS
Rows tend to A001787: 1, 4, 12, 32, 80, 192, 448...(number of edges in n-dimensional hypercubes). First difference terms of the triangle columns become rows of the triangle A116666.
FORMULA
Construct an array formed by taking binomial transforms of (1,0,0,0...); (1,3,0,0,0...); (1,3,5,0,0,0). Antidiagonals of the array become rows of the triangle.
EXAMPLE
First few rows of the array are:
1 1 1 1 1...
1 4 7 10 13...
1 4 12 25 43...
1 4 12 32 71...
...
By taking antidiagonals, first few rows of the triangle are:
1;
1, 1;
1, 4, 1;
1, 4, 7, 1;
1, 4, 12, 10, 1;
1, 4, 12, 25, 13, 1;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Feb 22 2006
STATUS
approved