A304583 Period 18: repeat 1,8,3,6,5,4,7,2,9,0,9,2,7,4,5,6,3,8.
1, 8, 3, 6, 5, 4, 7, 2, 9, 0, 9, 2, 7, 4, 5, 6, 3, 8, 1, 8, 3, 6, 5, 4, 7, 2, 9, 0, 9, 2, 7, 4, 5, 6, 3, 8, 1, 8, 3, 6, 5, 4, 7, 2, 9, 0, 9, 2, 7, 4, 5, 6, 3, 8, 1, 8, 3, 6, 5, 4, 7, 2, 9, 0, 9, 2, 7, 4, 5, 6, 3, 8, 1, 8, 3, 6, 5, 4, 7, 2, 9, 0, 9, 2, 7, 4
Offset: 1
Links
- Colin Barker, Table of n, a(n) for n = 1..1000
- Index entries for linear recurrences with constant coefficients, signature (-1,0,0,0,0,0,0,0,1,1).
Programs
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Mathematica
PadRight[{},120,{1,8,3,6,5,4,7,2,9,0,9,2,7,4,5,6,3,8}] (* Harvey P. Dale, Feb 10 2024 *) -
PARI
Vec(x*(1 + 9*x + 11*x^2 + 9*x^3 + 11*x^4 + 9*x^5 + 11*x^6 + 9*x^7 + 11*x^8 + 8*x^9) / ((1 - x)*(1 + x)*(1 + x + x^2)*(1 + x^3 + x^6)) + O(x^50)) \\ Colin Barker, May 28 2018
Formula
From Colin Barker, May 28 2018: (Start)
G.f.: x*(1 + 9*x + 11*x^2 + 9*x^3 + 11*x^4 + 9*x^5 + 11*x^6 + 9*x^7 + 11*x^8 + 8*x^9) / ((1 - x)*(1 + x)*(1 + x + x^2)*(1 + x^3 + x^6)).
a(n) = -a(n-1) + a(n-9) + a(n-10) for n > 10.
(End)
Comments