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A226463 Triangle read by rows giving successive states of cellular automaton generated by "Rule 135". 5
0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0

LINKS

Reinhard Zumkeller, Rows n = 0..120 of triangle, flattened

Eric Weisstein's World of Mathematics, Rule 30

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

Index entries for sequences related to cellular automata

FORMULA

T(n,k) = 1 - A070950(n,k), 0 <= k <= 2*n+1.

EXAMPLE

Initial rows, terms moved together:

.   0:                           0

.   1:                          000

.   2:                         00110

.   3:                        0010000

.   4:                       001101110

.   5:                      00100001000

.   6:                     0011011110110

.   7:                    001000011000000

.   8:                   00110111000111110

.   9:                  0010000100110111000

.  10:                 001101111010000100110

.  11:                00100001100101111010000

.  12:               0011011100011001100101110

.  13:              001000010011000100011001000

.  14:             00110111101000111011000110110

.  15:            0010000110010110100000110000000

.  16:           001101110001100001011110001111110

.  17:          00100001001100011110011001101111000

.  18:         0011011110100011011001000100001100110

.  19:        001000011001011000000110111011100010000

.  20:       00110111000110000111110000100010011101110

.  21:      0010000100110001110111001111011101010001000

.  22:     001101111010001101000100101100010010101110110

.  23:    00100001100101100010111011000011101101001000000

.  24:   0011011100011000011100100000111010000010110111110

.  25:  001000010011000111010011011110100101111100000111000 .

PROG

(Haskell)

a226463 n k = a226463_tabf !! n !! k

a226463_row n = a226463_tabf !! n

a226463_tabf = map (map (1 -)) a070950_tabf

CROSSREFS

Cf. A005408 (row lengths), A070951 (row sums), A226474 central terms), A070950 (complemented, rule 30), A226464 (mirrored, rule 149).

Sequence in context: A011684 A011674 A011683 * A011681 A011689 A011680

Adjacent sequences:  A226460 A226461 A226462 * A226464 A226465 A226466

KEYWORD

nonn,tabf

AUTHOR

Reinhard Zumkeller, Jun 08 2013

STATUS

approved

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Last modified November 28 13:47 EST 2021. Contains 349413 sequences. (Running on oeis4.)