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

0,4

Links

Table of n, a(n) for n=0..85.

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

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)

Maple

0, 1, seq(op([1, 2, 5, 6]), n=0..50); # Wesley Ivan Hurt, Jul 08 2016

Mathematica

PadRight[{0, 1}, 120, {5, 6, 1, 2}] (* Harvey P. Dale, Jul 14 2014 *)

Prog

(PARI) a(n)=if(n>1, [6, 1, 2, 5][n%4+1], n)
(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
(Magma) [0, 1] cat &cat [[1, 2, 5, 6]^^30]; // Wesley Ivan Hurt, Jul 08 2016

Crossrefs

Cf. A131800, A136324.

Sequence in context: A011037 A111987 A004650 * A131800 A086038 A200136

Adjacent sequences: A138276 A138277 A138278 * A138280 A138281 A138282

Keyword

nonn,easy,base

Author

Paul Curtz, May 06 2008

Status

approved