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Sum of next F(n) Fibonacci numbers, where F(n) = n-th Fibonacci number.
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%I #7 Nov 05 2015 11:38:01

%S 0,1,1,5,26,343,17334,9209754,225842206252,2880066968519382403,

%T 898923707005599922079920034025,

%U 3577855662560905980740035806138759999587547050967,4444705723234237498833973519979330664270869912654770206838250657106420149314752

%N Sum of next F(n) Fibonacci numbers, where F(n) = n-th Fibonacci number.

%H Alois P. Heinz, <a href="/A077537/b077537.txt">Table of n, a(n) for n = 0..17</a>

%F First differences of A005370 = F(F(n+1)+1). - Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Nov 17 2002

%e a(0) =0, a(1) = 1, a(2) = 1, a(3) = 2+3 = 5, a(4) = 5+8+13=26, etc.

%p with(combinat, fibonacci): A077537 := n -> fibonacci(fibonacci(n+2)+1)-fibonacci(fibonacci(n+1)+1);

%p # second Maple program:

%p F:= n-> (<<0|1>, <1|1>>^n)[1, 2]:

%p a:= n-> F(F(n+2)+1)-F(F(n+1)+1):

%p seq(a(n), n=0..14); # _Alois P. Heinz_, Nov 05 2015

%Y Cf. A000045.

%K nonn

%O 0,4

%A _Amarnath Murthy_, Nov 08 2002

%E More terms from Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Nov 17 2002