A275910 - OEIS

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A275910

Numbers not congruent to 0, 1 or 8 mod 9.

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

(list; graph; refs; listen; history; text; internal format)

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.

LINKS

Colin Barker, Table of n, a(n) for n = 1..1000

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

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