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 A045995 Rows of Fibonacci-Pascal triangle. 5
 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, 1, 34, 14930352 (list; table; graph; refs; listen; history; text; internal format)
 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 A045995 := proc(n, k)     combinat[fibonacci](binomial(n, k)) ; end proc: # R. J. Mathar, Dec 03 2014 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 Cf. A000045, A007318, A006449 (row sums), A081667. Main diagonal gives A281450. Sequence in context: A266378 A092113 A331485 * A157654 A078692 A273432 Adjacent sequences:  A045992 A045993 A045994 * A045996 A045997 A045998 KEYWORD nonn,easy,nice,tabl AUTHOR EXTENSIONS More terms from David W. Wilson STATUS approved

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Last modified September 23 03:00 EDT 2020. Contains 337291 sequences. (Running on oeis4.)