A212126 - OEIS

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

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OFFSET

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