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Row sums of Fibonacci-Pascal triangle in A045995.
(Formerly M0813)
7

%I M0813 #23 Aug 30 2017 16:58:32

%S 1,2,3,6,16,122,8003,18476850,190844194212235,

%T 192303711247038132600144086,

%U 20672849468072409216994337223266361373129558839387316

%N Row sums of Fibonacci-Pascal triangle in A045995.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Reinhard Zumkeller, <a href="/A006449/b006449.txt">Table of n, a(n) for n = 0..14</a>

%H J. Shallit, <a href="/A006449/a006449.pdf">Letter to N. J. A. Sloane, Oct. 1975</a>

%H R. Whitney, <a href="http://www.fq.math.ca/Scanned/13-3/advanced13-3.pdf">Problem H-254</a>, Fib. Quart., 13 (1975), p. 281.

%o (PARI) a(n) = sum(k=0, n, fibonacci(binomial(n, k))) \\ _Michel Marcus_, May 25 2013

%o (Haskell)

%o a006449 = sum . a045995_row -- _Reinhard Zumkeller_, May 20 2014

%Y Cf. A045995.

%K nonn,nice

%O 0,2

%A _Jeffrey Shallit_, Nov 25 1975