A130917 a(n) is the sum of the digital roots of all of the previous terms.
1, 1, 2, 4, 8, 16, 23, 28, 29, 31, 35, 43, 50, 55, 56, 58, 62, 70, 77, 82, 83, 85, 89, 97, 104, 109, 110, 112, 116, 124, 131, 136, 137, 139, 143, 151, 158, 163, 164, 166, 170, 178, 185, 190, 191, 193, 197, 205
Offset: 1
Examples
a(8) = 28 because the digital roots of the previous terms are 1,1,2,4,8,7 and 5 and 1+1+2+4+8+7+5 = 28
Links
- Index entries for linear recurrences with constant coefficients, signature (2,-1,-1,2,-1).
Crossrefs
Cf. A007612.
Programs
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PARI
Vec(x*(5*x^5+x^4+2*x^3+x^2-x+1)/((x-1)^2*(x+1)*(x^2-x+1)) + O(x^100)) \\ Colin Barker, Jan 17 2014
Formula
G.f.: x*(5*x^5+x^4+2*x^3+x^2-x+1) / ((x-1)^2*(x+1)*(x^2-x+1)). - Colin Barker, Jan 17 2014
Comments