OFFSET
0,4
COMMENTS
Left border, nonzero terms = odd indexed Fibonacci numbers: (1, 2, 5, 13, ...). Next column, nonzero terms = A030267: (1, 4, 14, 46, 145, ...). Row sums = A131322: (1, 1, 3, 5, 12, 23, 51, ...).
Riordan array (f(x),x*f(x)) where f(x) = (1-x^2)/(1-3*x^2+x^4). Aerated version of triangle in A188137. - Philippe Deléham, Jan 26 2012
FORMULA
A168561 squared, as an infinite lower triangular matrix.
EXAMPLE
First few rows of the triangle are:
1;
0, 1;
2, 0, 1;
0, 4, 0, 1;
5, 0, 6, 0, 1;
0, 14, 0, 8, 0, 1;
13, 0, 27, 0, 10, 0, 1;
...
MAPLE
F:= (n, k)-> coeff(combinat[fibonacci](n+1, x), x, k):
T:= (n, k)-> add(F(n, j)*F(j, k), j=0..n):
seq(seq(T(n, k), k=0..n), n=0..14); # Alois P. Heinz, Dec 12 2019
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Jun 28 2007
STATUS
approved