A160191 Lodumo_8 of Lucas numbers.

2, 1, 3, 4, 7, 11, 10, 5, 15, 12, 19, 23, 18, 9, 27, 20, 31, 35, 26, 13, 39, 28, 43, 47, 34, 17, 51, 36, 55, 59, 42, 21, 63, 44, 67, 71, 50, 25, 75, 52, 79, 83, 58, 29, 87, 60, 91, 95, 66, 33, 99, 68, 103, 107, 74, 37, 111, 76, 115, 119, 82, 41, 123, 84, 127, 131, 90, 45, 135

Offset: 0

Author

Philippe Deléham, May 04 2009

Keywords

• nonn
• easy

Comments

Numbers congruent to {0,6} mod 8 are missing (see A047451).

Links

• N. J. A. Sloane, Transforms

Crossrefs

Cf. A000032, A047451, A111958.

Formula

Lodumo_8 transform of A000032 (for definition see Transforms).

Conjecture: a(n)= +2*a(n-6) -a(n-12) . - R. J. Mathar, Oct 08 2011

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