A212126 Period 13: repeat (0,0,1,0,0,1,0,1,0,0,1,0,1).

0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1

Offset

0

Comments

a(1)-a(42) coincide with A085242.

Consider the sequence in which a(n) = 1 if two rhombuses that are adjacent to one of the six spokes of the E-toothpick (or snowflake) structure of A161330 appear at n-th stage, otherwise 0. Is this the same as the mentioned sequence? If not, where is the first place these sequences differ? - Omar E. Pol, Feb 28 2013

Links

Table of n, a(n) for n=0..90.

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

Formula

G.f. -x^2*(1 +x^3 +x^5 +x^8 +x^10) ) / ( (x-1)*(1 +x^12 +x^11 +x^10 +x^9 +x^8 +x^7 +x^6 +x^5 +x^4 +x^3 +x^2 +x) ). - R. J. Mathar, Mar 04 2013

Mathematica

PadRight[{}, 120, {0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1}] (* Harvey P. Dale, Apr 13 2016 *)

Prog

(PARI) a(n)=[0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1][n%13+1] \\ Charles R Greathouse IV, Jul 17 2016

Crossrefs

Cf. A085242, A161330.

Very similar to but different from A189661. - N. J. A. Sloane, Mar 08 2017

Sequence in context: A289239 A188432 A282317 * A144605 A349297 A349317

Adjacent sequences: A212123 A212124 A212125 * A212127 A212128 A212129

Keyword

nonn,easy

Author

Omar E. Pol, Dec 19 2012

Status

approved