A174927 Periodic sequence: Repeat 1, 64.

1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64

Offset

0,2

Comments

Interleaving of A000012 and 2*A010871.

Also continued fraction expansion of (4+sqrt(17))/8.

First differences of A174928.

Links

Table of n, a(n) for n=0..83.

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

Formula

a(n) = (65-63*(-1)^n)/2.

a(n) = a(n-2) for n > 1; a(0) = 0, a(1) = 64.

a(n) = -a(n-1)+65 for n > 0; a(0) = 1.

a(n) = ((n+1) mod 2)+64*(n mod 2).

G.f.: (1+64*x)/((1-x)*(1+x)).

Mathematica

PadRight[{}, 100, {1, 64}] (* Harvey P. Dale, Jun 16 2013 *)

Prog

(Magma) &cat[ [1, 64]: n in [0..41] ];
[ (65-63*(-1)^n)/2: n in [0..83] ];

Crossrefs

Cf. A000012 (all 1's sequence), A010871 (all 32's sequence), A010689 (repeat 1, 8), A174930 (decimal expansion of (4+sqrt(17))/8), A174928.

Sequence in context: A221761 A085339 A203262 * A303329 A301911 A302155

Adjacent sequences: A174924 A174925 A174926 * A174928 A174929 A174930

Keyword

cofr,easy,nonn

Author

Klaus Brockhaus, Apr 02 2010

Status

approved