A111435 a(n) = Fibonacci(hexanacci(n)).

0, 0, 0, 0, 0, 1, 1, 1, 3, 21, 987, 2178309, 6557470319842, 59425114757512643212875125, 3016128079338728432528443992613633888712980904400501

Offset

0,9

Links

Table of n, a(n) for n=0..14.

Formula

a(n) = A000045(A001592(n)).

Example

a(0) = Fibonacci(hexanacci(0)) = A000045(A001592(0)) = A000045(0) = 0.
a(1) = Fibonacci(hexanacci(1)) = A000045(A001592(1)) = A000045(0) = 0.
a(2) = Fibonacci(hexanacci(2)) = A000045(A001592(2)) = A000045(0) = 0.
a(3) = Fibonacci(hexanacci(3)) = A000045(A001592(3)) = A000045(0) = 0.
a(4) = Fibonacci(hexanacci(4)) = A000045(A001592(4)) = A000045(0) = 0.
a(5) = Fibonacci(hexanacci(5)) = A000045(A001592(5)) = A000045(1) = 1.
a(6) = Fibonacci(hexanacci(6)) = A000045(A001592(6)) = A000045(1) = 1.
a(7) = Fibonacci(hexanacci(7)) = A000045(A001592(7)) = A000045(2) = 1.
a(8) = A000045(A001592(8)) = A000045(4) = 3.
a(9) = A000045(A001592(9)) = A000045(8) = 21.
a(10) = A000045(A001592(10)) = A000045(16) = 987.
a(11) = A000045(A001592(11)) = A000045(32) = 2178309.
a(12) = A000045(A001592(12)) = A000045(63) = 6557470319842.

Maple

b:= proc(n) option remember; `if`(n<5, 0,
      `if`(n=5, 1, add(b(n-j), j=1..6)))
    end:
a:= n-> (<<0|1>, <1|1>>^b(n))[1, 2]:
seq(a(n), n=0..14);  # Alois P. Heinz, Aug 09 2018

Crossrefs

Cf. A000045, A001592, A066178, A007570.

Sequence in context: A288567 A288568 A111433 * A111438 A058635 A077260

Adjacent sequences: A111432 A111433 A111434 * A111436 A111437 A111438

Keyword

easy,nonn

Author

Jonathan Vos Post, Nov 13 2005

Status

approved