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A211011 Value on the axis "y" of the endpoint of the structure (or curve) of A211000 at n-th stage. 12
0, 1, 0, -1, -2, -3, -4, -5, -6, -7, -6, -5, -4, -3, -2, -1, -2, -3, -4, -5, -6, -7, -6, -5, -4, -3, -4, -5, -4, -3, -2, -1, 0, 1, 0, -1, 0, 1, 2, 3, 2, 1, 0, -1, -2, -3, -2, -1, 0, 1, 0, -1, 0, 1, 2, 3, 2, 1, 2, 3, 4, 5, 6, 7, 6, 5, 6, 7, 8, 9, 8, 7, 6, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

For n >= 13 the structure of A211000 looks like essentially a column of tangent circles of radius 1. The structure arises from the prime numbers A000040. The behavior seems to be as modular arithmetic but in a growing structure. Note that all odd numbers > 1 are located on the main axis of the structure. For the number of circles after n-th stage see A211020. For the values on the axis "x" see A211010. For the values for the n-th prime see A211023.

LINKS

Table of n, a(n) for n=0..73.

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

Index entries for sequences related to toothpick sequences

FORMULA

abs(a(n)-a(n+1)) = 1.

EXAMPLE

Consider the illustration of the structure of A211000:

------------------------------------------------------

.           After           After            After

.  y      9 stages        10 stages        11 stages

------------------------------------------------------

.  2

.  1        1               1                1

.  0      0   2           0   2            0   2

. -1            3               3                3

. -2              4               4                4

. -3            5               5                5

. -4          6               6                6

. -5            7               7               11

. -6              8          10   8           10   8

. -7            9               9                9

. -8

We can see that a(7) = a(11) = -5.

CROSSREFS

Bisection of A211000.

Cf. A187210, A210838, A210841, A211001-A211003, A211010, A211020-A211024.

Sequence in context: A331305 A279313 A063265 * A232242 A287655 A073794

Adjacent sequences:  A211008 A211009 A211010 * A211012 A211013 A211014

KEYWORD

sign

AUTHOR

Omar E. Pol, Mar 30 2012

STATUS

approved

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Last modified July 9 14:56 EDT 2020. Contains 335543 sequences. (Running on oeis4.)