A164743 Digital root of 3*A000045(n).

3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9

Offset: 1

Author

Mark Dols, Aug 24 2009

Keywords

• nonn
• base
• easy

Comments

Period 8.

Links

• Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,1)

Crossrefs

Cf. A049341,A000045,A030132,A082115

Formula

a(n+1) = sum of digits of a(n) + a(n-1).

a(n) = A010888(3*A000045(n)). - R. J. Mathar, Nov 03 2016

G.f.: -3*x*(1+x+2*x^2+3*x^3+2*x^4+2*x^5+x^6+3*x^7) / ( (x-1)*(1+x)*(x^2+1)*(x^4+1) ). - R. J. Mathar, Nov 03 2016