A160108 Lodumo_8 of Fibonacci numbers.

0, 1, 9, 2, 3, 5, 8, 13, 21, 10, 7, 17, 16, 25, 33, 18, 11, 29, 24, 37, 45, 26, 15, 41, 32, 49, 57, 34, 19, 53, 40, 61, 69, 42, 23, 65, 48, 73, 81, 50, 27, 77, 56, 85, 93, 58, 31, 89, 64, 97, 105, 66, 35, 101, 72, 109, 117, 74, 39, 113, 80, 121, 129, 82, 43, 125, 88, 133, 141

Offset: 0

Author

Philippe Deléham, May 02 2009

Keywords

• nonn

Comments

Some integers (see A047406) are missing.

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..10000
• N. J. A. Sloane, Transforms

Crossrefs

Cf. A000045, A079344.

Formula

Lodumo_8 transform of A000045 (for definition see Transforms).

Conjecture: a(n) = 2*a(n-6)-a(n-12). - Colin Barker, Oct 04 2014

Empirical g.f.: x*(7*x^10 +x^9 +6*x^8 +3*x^7 +11*x^6 +8*x^5 +5*x^4 +3*x^3 +2*x^2 +9*x +1) / ((x -1)^2*(x +1)^2*(x^2 -x +1)^2*(x^2 +x +1)^2). - Colin Barker, Oct 04 2014

Extensions

Replaced 35 by 33 - R. J. Mathar, May 03 2009