login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A211024 Sum of all visible nodes in the structure of A211000 at n-th stage. 5
0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 59, 71, 79, 93, 105, 117, 121, 133, 141, 153, 165, 177, 181, 193, 201, 209, 213, 217, 221, 237, 253, 285, 318, 350, 354, 358, 362, 400, 439, 479, 483, 491, 499, 527, 543, 559, 563, 575, 583, 591, 595, 599, 603 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

First differs from A000217 at a(11). For n >= 13 the Q-toothpick 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.

LINKS

Table of n, a(n) for n=0..53.

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

Index entries for sequences related to toothpick sequences

EXAMPLE

Consider the illustration of the nodes in structure of A211000:

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

After 9 stages    After 10 stages    After 11 stages

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

.

.    1                 1                  1

.  0   2             0   2              0   2

.        3                 3                  3

.          4                 4                  4

.        5                 5                  5

.      6                 6                  6

.        7                 7                 11

.          8            10   8             10   8

.        9                 9                  9

.

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

We can see that:

a(9)  = 0+1+2+3+4+5+6+7+8+9 = a(8)+9 = 45

a(10) = 0+1+2+3+4+5+6+7+8+9+10 = a(9)+10 = 55

a(11) = 0+1+2+3+4+5+6+8+9+10+11 = a(10)-7+11 = 59

CROSSREFS

Cf. A000217, A187210, A211000-A211003, A211010, A211011, A211020-A211023.

Sequence in context: A033442 A105335 A130489 * A261422 A262544 A033443

Adjacent sequences:  A211021 A211022 A211023 * A211025 A211026 A211027

KEYWORD

nonn

AUTHOR

Omar E. Pol, Apr 14 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 21 20:03 EDT 2019. Contains 322328 sequences. (Running on oeis4.)