A233766 Digital root of Lucas numbers (A030133) indexed by natural numbers not divisible by 2, 3 or 5 (A007775).

2, 9, 6, 7, 2, 9, 3, 7, 9, 7, 2, 9, 3, 2, 7, 6, 7, 9, 3, 2, 7, 9, 6, 2, 2, 9, 6, 7, 2, 9, 3, 7, 9, 7, 2, 9, 3, 2, 7, 6, 7, 9, 3, 2, 7, 9, 6, 2, 2, 9, 6, 7, 2, 9, 3, 7, 9, 7, 2, 9, 3, 2, 7, 6, 7, 9, 3, 2, 7, 9, 6, 2, 2, 9, 6, 7, 2, 9, 3, 7, 9, 7, 2, 9, 3, 2, 7, 6, 7, 9, 3, 2, 7, 9, 6, 2

Offset: 1

Author

Gary Croft, Dec 15 2013

Keywords

• nonn
• base
• less

Comments

32-beat repeating sequence.

Crossrefs

Cf. A000032, A007775, A030133.

Formula

Conjectures from Colin Barker, Sep 22 2019: (Start)

G.f.: x*(2 + 9*x + 6*x^2 + 7*x^3 + 2*x^4 + 9*x^5 + 3*x^6 + 7*x^7 + 9*x^8 + 7*x^9 + 2*x^10 + 9*x^11 + 3*x^12 + 2*x^13 + 7*x^14 + 6*x^15 + 7*x^16 + 9*x^17 + 3*x^18 + 2*x^19 + 7*x^20 + 9*x^21 + 6*x^22 + 2*x^23) / ((1 - x)*(1 + x)*(1 - x + x^2)*(1 + x^2)*(1 + x + x^2)*(1 - x^2 + x^4)*(1 + x^4)*(1 - x^4 + x^8)).

a(n) = a(n-24) for n>24.

(End)