A077537 Sum of next F(n) Fibonacci numbers, where F(n) = n-th Fibonacci number.

0, 1, 1, 5, 26, 343, 17334, 9209754, 225842206252, 2880066968519382403, 898923707005599922079920034025, 3577855662560905980740035806138759999587547050967, 4444705723234237498833973519979330664270869912654770206838250657106420149314752

Offset: 0

Author

Amarnath Murthy, Nov 08 2002

Keywords

• nonn

Examples

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

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..17

Crossrefs

Cf. A000045.

Programs

Maple

with(combinat, fibonacci): A077537 := n -> fibonacci(fibonacci(n+2)+1)-fibonacci(fibonacci(n+1)+1);
# second Maple program:
F:= n-> (<<0|1>, <1|1>>^n)[1, 2]:
a:= n-> F(F(n+2)+1)-F(F(n+1)+1):
seq(a(n), n=0..14);  # Alois P. Heinz, Nov 05 2015

Formula

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

Extensions

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