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A275910
Numbers not congruent to 0, 1 or 8 mod 9.
2
2, 3, 4, 5, 6, 7, 11, 12, 13, 14, 15, 16, 20, 21, 22, 23, 24, 25, 29, 30, 31, 32, 33, 34, 38, 39, 40, 41, 42, 43, 47, 48, 49, 50, 51, 52, 56, 57, 58, 59, 60, 61, 65, 66, 67, 68, 69, 70, 74, 75, 76, 77, 78, 79, 83, 84, 85, 86, 87, 88, 92, 93, 94, 95, 96, 97, 101, 102, 103, 104, 105, 106, 110, 111
OFFSET
1,1
REFERENCES
H. I. Okagbue, M. O. Adamu, S. A. Bishop and A. A. Opanuga, Properties of Sequences Generated by Summing the Digits of Cubed Positive Integers, Indian Journal Of Natural Sciences, Vol. 6 / Issue 32 / October 2015.
FORMULA
From Colin Barker, Aug 26 2016: (Start)
a(n) = a(n-1)+a(n-6)-a(n-7) for n>7.
G.f.: x*(2+x+x^2+x^3+x^4+x^5+2*x^6) / ((1-x)^2*(1+x)*(1-x+x^2)*(1+x+x^2)). (End)
MATHEMATICA
DeleteCases[Range[120], _?(MemberQ[{0, 1, 8}, Mod[#, 9]]&)] (* Harvey P. Dale, Oct 08 2017 *)
PROG
(PARI) Vec(x*(2+x+x^2+x^3+x^4+x^5+2*x^6)/((1-x)^2*(1+x)*(1-x+x^2)*(1+x+x^2)) + O(x^100)) \\ Colin Barker, Aug 26 2016
CROSSREFS
Complement of A054966.
Sequence in context: A265571 A265555 A214677 * A032971 A099466 A358673
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Aug 26 2016
STATUS
approved