A233766 - OEIS

%I #12 Sep 22 2019 20:47:55

%S 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,

%T 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,

%U 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

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

%C 32-beat repeating sequence.

%F Conjectures from _Colin Barker_, Sep 22 2019: (Start)

%F 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)).

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

%F (End)

%Y Cf. A000032, A007775, A030133.

%K nonn,base,less

%O 1,1

%A _Gary Croft_, Dec 15 2013