OFFSET
0,5
LINKS
G. C. Greubel, Table of n, a(n) for the first 51 rows
FORMULA
T(n,k) = A010048(n,k)*(1 + F(k)*F(n-k)).
EXAMPLE
Triangle begins
1,
1, 1,
1, 2, 1,
1, 4, 4, 1,
1, 9, 12, 9, 1,
1, 20, 45, 45, 20, 1.
MAPLE
A154218 := proc(n, k)
A010048(n, k)*(1+combinat[fibonacci](k)*combinat[fibonacci](n-k)) ;
end proc:
seq(seq(A154218(n, k), k=0..n), n=0..10) ; # R. J. Mathar, Feb 05 2015
MATHEMATICA
f[n_, k_] := Product[Fibonacci[n - j + 1]/Fibonacci[j], {j, k}]; Table[f[n, i]*(1 + Fibonacci[i]*Fibonacci[n - i]), {n, 0, 10}, {i, 0, n}] (* G. C. Greubel, Sep 04 2016 *)
CROSSREFS
KEYWORD
AUTHOR
Paul Barry, Jan 05 2009
STATUS
approved