A131080 Periodic sequence (4, 4, 3, 1, 0, 0, 1, 3).

4, 4, 3, 1, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 1, 3, 4

Offset

1,1

Comments

Third column of triangular array T defined in A131074.

Links

Table of n, a(n) for n=1..105.

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

Formula

a(n) = a(n-8).

G.f.: x*(4-x^2-2*x^3+3*x^4)/((1-x)*(1+x^4)).

Prog

(PARI) {m=105; for(n=1, m, r=(n-1)%8; print1(if(r<2, 4, if(r==2||r==7, 3, if(r==3||r==6, 1, 0))), ", "))}
(Magma) m:=105; [ [4, 4, 3, 1, 0, 0, 1, 3][(n-1) mod 8 + 1]: n in [1..m] ];

Crossrefs

Cf. A131074, A131027.

Sequence in context: A340193 A340196 A016707 * A010657 A019706 A016497

Adjacent sequences: A131077 A131078 A131079 * A131081 A131082 A131083

Keyword

nonn,easy,less,changed

Author

Klaus Brockhaus, following a suggestion of Paul Curtz, Jun 14 2007

Status

approved