A176636 Periodic sequence: Repeat [57, 71].

57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57

Offset: 0

Author

Klaus Brockhaus, Apr 22 2010

Keywords

• easy
• cofr
• nonn

Comments

Continued fraction expansion of (4047+sqrt(16394397))/142.

Inverse binomial transform of 57 followed by 128*A000079.

Third inverse binomial transform of A176635.

Links

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

Crossrefs

Cf. A000079 (powers of 2), A176635, A176713 (decimal expansion of (4047+sqrt(16394397))/142).

Programs

Magma

&cat[ [57, 71]: k in [1..35] ];

Mathematica

PadRight[{},100,{57,71}] (* Harvey P. Dale, Jun 18 2014 *)

Formula

a(n) = 64-7*(-1)^n.

a(n) = -a(n-1)+128 for n > 0; a(0) = 57.

a(n) = a(n-2) for n > 1; a(0) = 57, a(1) = 71.

G.f.: (57+71*x)/((1-x)*(1+x)).

Extensions

Comment, crossref and keyword cofr added by Klaus Brockhaus, Apr 24 2010