A175833 Periodic sequence: repeat 4,7,11.

4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11, 4, 7, 11

Offset

0,1

Comments

Continued fraction expansion of (158+sqrt(27226))/78.

Links

Table of n, a(n) for n=0..86.

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

Formula

G.f.: (4 + 7*x + 11*x^2)/(1 - x^3).

a(n) = a(n-3) for n>2.

a(n) = 4*A010882(n) - A011655(n) = 4*(n + 1 - 3*floor(n/3)) - (1 - (-1)^(n-3*floor((n+1)/3)))/2.

Mathematica

PadRight[{}, 120, {4, 7, 11}] (* Harvey P. Dale, Jul 17 2013 *)

Prog

(Magma) &cat[[4, 7, 11]^^30];
(Maxima) makelist(concat(4, ", ", 7, ", ", 11), n, 0, 28); /* Bruno Berselli, Nov 13 2012 */
(Python) [4, 7, 11]*30 # Bruno Berselli, Dec 02 2016

Crossrefs

Cf. A010882, A011655.

Sequence in context: A135262 A061515 A071084 * A171964 A352583 A198468

Adjacent sequences: A175830 A175831 A175832 * A175834 A175835 A175836

Keyword

nonn,easy

Author

Bruno Berselli, Sep 17 2010

Status

approved