A226481 Table read by rows: run lengths in rows of A070950.

1, 3, 2, 2, 1, 2, 1, 4, 2, 2, 1, 3, 1, 2, 1, 4, 1, 3, 2, 2, 1, 4, 1, 2, 1, 2, 1, 4, 2, 6, 2, 2, 1, 3, 3, 5, 1, 2, 1, 4, 1, 2, 2, 1, 3, 3, 2, 2, 1, 4, 1, 1, 4, 1, 2, 2, 1, 2, 1, 4, 2, 2, 1, 1, 4, 1, 1, 4, 2, 2, 1, 3, 3, 2, 2, 2, 2, 1, 1, 3, 1, 2, 1, 4, 1, 2

Offset: 0

Author

Reinhard Zumkeller, Jun 09 2013

Keywords

• nonn
• tabf

Comments

T(n,2*k) = numbers of consecutive ones in row n of A070950;

T(n,2*k+1) = numbers of consecutive zeros in row n of A070950;

sum(T(n,k): k = 0..A226482(n)-1) = 2*n+1.

Examples

			.             Initial rows               A070950, terms moved together
.  0:  [1]                                             1
.  1:  [3]                                            111
.  2:  [2,2,1]                                       11001
.  3:  [2,1,4]                                      1101111
.  4:  [2,2,1,3,1]                                 110010001
.  5:  [2,1,4,1,3]                                11011110111
.  6:  [2,2,1,4,1,2,1]                           1100100001001
.  7:  [2,1,4,2,6]                              110111100111111
.  8:  [2,2,1,3,3,5,1]                         11001000111000001
.  9:  [2,1,4,1,2,2,1,3,3]                    1101111011001000111
. 10:  [2,2,1,4,1,1,4,1,2,2,1]               110010000101111011001
. 11:  [2,1,4,2,2,1,1,4,1,1,4],             11011110011010000101111
. 12:  [2,2,1,3,3,2,2,2,2,1,1,3,1]         1100100011100110011010001
. 13:  [2,1,4,1,2,2,3,1,3,2,2,1,3]        110111101100111011100110111
. 14:  [2,2,1,4,1,1,3,3,1,2,3,2,1,2,1]   11001000010111000100111001001
. 15:  [2,1,4,2,2,1,1,2,1,1,5,2,7]      1101111001101001011111001111111
. 16:  [2,2,1,3,3,2,4,1,1,4,3,6,1]     110010001110011110100001110000001 .
		

Links

• Reinhard Zumkeller, Rows n = 0..150 of triangle, flattened
• Eric Weisstein's World of Mathematics, Rule 30
• Index entries for sequences related to cellular automata

Crossrefs

Cf. A226482 (row lengths), A005408 (row sums).

Programs

Haskell

import Data.List (group)
a226481 n k = a226481_tabf !! n !! k
a226481_row n = a226481_tabf !! n
a226481_tabf = map (map length . group) a070950_tabf