OFFSET
0,8
LINKS
Reinhard Zumkeller, Rows n=0..14 of triangle, flattened
R. Whitney, Problem H-254, Fib. Quart., 13 (1975), p. 281.
FORMULA
Take Pascal triangle (A007318) and replace each i by Fibonacci(i): a(n,k)=Fibonacci(binomial(n,k)).
EXAMPLE
1,
1, 1,
1, 1, 1,
1, 2, 2, 1,
1, 3, 8, 3, 1,
1, 5, 55, 55, 5, 1,
1, 8, 610, 6765, 610, 8, 1,
1, 13, 10946, 9227465, 9227465, 10946, 13, 1,
1, 21, 317811, 225851433717, 190392490709135, 225851433717, 317811, 21, 1,
...
MAPLE
MATHEMATICA
Flatten[Table[Fibonacci[Binomial[n, k]], {n, 0, 10}, {k, 0, n}]] (* Harvey P. Dale, Dec 31 2013 *)
PROG
(Haskell)
a045995 n k = a045995_tabl !! n !! k
a045995_row n = a045995_tabl !! n
a045995_tabl = map (map (a000045 . fromInteger)) a007318_tabl
-- Reinhard Zumkeller, Dec 29 2011
CROSSREFS
KEYWORD
AUTHOR
EXTENSIONS
More terms from David W. Wilson
STATUS
approved