A138279 Last digit of A136324. After 0, 1, period 4: repeat [1, 2, 5, 6] = A131800.
0, 1, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6, 1, 2, 5, 6
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (0,0,0,1).
Programs
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Magma
[0,1] cat &cat [[1, 2, 5, 6]^^30]; // Wesley Ivan Hurt, Jul 08 2016
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Maple
0,1,seq(op([1, 2, 5, 6]), n=0..50); # Wesley Ivan Hurt, Jul 08 2016
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Mathematica
PadRight[{0,1}, 120, {5,6,1,2}] (* Harvey P. Dale, Jul 14 2014 *) -
PARI
a(n)=if(n>1,[6,1,2,5][n%4+1],n)
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PARI
concat(0, Vec((x+x^2+2*x^3+5*x^4+5*x^5)/(1-x^4) + O(x^99))) \\ Altug Alkan, Jul 08 2016
Formula
From Wesley Ivan Hurt, Jul 08 2016: (Start)
G.f.: (x+x^2+2*x^3+5*x^4+5*x^5)/(1-x^4).
a(n) = a(n-4) for n>5.
a(n) = (7 - I^(2*n) + (2 + 2*I)*I^(-n) + (2 - 2*I)*I^n)/2 for n>1. (End)
Comments