A010730 a(n) = (17 - 3*(-1)^n)/2.

7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10, 7, 10

Offset

0,1

Comments

Period 2: repeat (7,10).

Continued fraction expansion of (35 + sqrt(1295))/10 = A176444. - Elmo R. Oliveira, Oct 13 2025

Links

Table of n, a(n) for n=0..71.

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

Formula

G.f.: (-7-10*x)/((x-1)*(1+x)). - R. J. Mathar, Nov 21 2011

a(n) = 7 + 2^(1 - (-1)^n) - 1. - Vincenzo Librandi, Feb 28 2020

From Elmo R. Oliveira, Oct 13 2025: (Start)

E.g.f.: 7*cosh(x) + 10*sinh(x).

a(n) = 7 + 3*(n mod 2).

a(n) = a(n-2). (End)

Mathematica

PadRight[{}, 120, {7, 10}] (* Harvey P. Dale, Jul 08 2019 *)

Prog

(Magma) &cat [[7, 10]^^50]; // Vincenzo Librandi, Feb 28 2020

Crossrefs

Cf. A000035, A176444.

Sequence in context: A266551 A070405 A377931 * A225694 A247191 A317336

Adjacent sequences: A010727 A010728 A010729 * A010731 A010732 A010733

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved