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

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A070952 Number of 1's in n-th generation of 1-D CA using Rule 30, started with a single 1. 16
1, 3, 3, 6, 4, 9, 5, 12, 7, 12, 11, 14, 12, 19, 13, 22, 15, 19, 20, 24, 21, 23, 23, 28, 26, 27, 26, 33, 30, 34, 31, 39, 26, 39, 29, 46, 32, 44, 38, 45, 47, 41, 45, 49, 38, 55, 42, 51, 44, 53, 43, 59, 52, 60, 49, 65, 57, 60, 56, 69, 61, 70, 59, 78, 64, 56, 65, 69, 69 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Number of 1's in n-th row of triangle in A070950.

Row sums in A070950; a(n) = 2*n + 1 - A070951(n). - Reinhard Zumkeller, Jun 07 2013

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 1..10000

N. J. A. Sloane, Illustration of first 20 generations

Eric Weisstein's World of Mathematics, Rule 30

Wikipedia, Rule 30

Index entries for sequences related to cellular automata

EXAMPLE

May be arranged into blocks of length 1,1,2,4,8,16,...:

1,

3,

3, 6,

4, 9, 5, 12,

7, 12, 11, 14, 12, 19, 13, 22,

15, 19, 20, 24, 21, 23, 23, 28, 26, 27, 26, 33, 30, 34, 31, 39,

26, 39, 29, 46, 32, 44, 38, 45, 47, 41, 45, 49, 38, 55, 42, 51,

    44, 53, 43, 59, 52, 60, 49, 65, 57, 60, 56, 69, 61, 70, 59, 78,

64, 56, 65, 69, 69, ...

MATHEMATICA

Map[Function[Apply[Plus, Flatten[ #1]]], CellularAutomaton[30, {{1}, 0}, 100]] (N. J. A. Sloane, Aug 10 2009)

PROG

(Haskell)

a070952 = sum . a070950_row  -- Reinhard Zumkeller, Jun 07 2013

CROSSREFS

Cf. A070950, A070951, A151929, A051023.

Cf. A110267 (partial sums), A246023, A246024, A246025, A246026, A246597.

Sequence in context: A182627 A135986 A069734 * A137462 A163926 A050346

Adjacent sequences:  A070949 A070950 A070951 * A070953 A070954 A070955

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane, May 19 2002, Aug 10 2009

EXTENSIONS

More terms from Hans Havermann, May 26 2002

Corrected offset and initial term - N. J. A. Sloane, Jun 07 2013

STATUS

approved

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

Content is available under The OEIS End-User License Agreement .

Last modified November 21 19:11 EST 2014. Contains 249784 sequences.