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A048710 Family 1 "Rule 90 x Rule 150 Array" read by antidiagonals. 5
1, 5, 7, 17, 27, 21, 85, 119, 65, 107, 257, 427, 325, 455, 273, 1285, 1799, 1105, 1755, 1365, 1911, 4369, 6939, 5397, 7607, 4097, 6827, 5189, 21845, 30583, 16705, 27499, 20485, 28679, 17745, 28123, 65537 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Infinitely many one-dimensional cellular automaton rules (given in sequence A048705) occur in this array, as combinations of CA-rules "90" (generates rows) and "150" (generates columns).

No pattern occurs twice in such arrays.

Each row/column can be generated from its predecessor row/column with SHIFTXORADJ transformation, given in A048711.

LINKS

Table of n, a(n) for n=0..36.

Index entries for sequences related to cellular automata

More information

FORMULA

a(n) = rule150(rule90(1, (((trinv(n)-1)*(((1/2)*trinv(n))+1))-n)), (n-((trinv(n)*(trinv(n)-1))/2))).

EXAMPLE

   1  5  17   85  257 1105 ... [ beginning of array ]

   7 27 119  427 1799 ...

  21 65 325 1105 5397 ...

MAPLE

trinv := n -> floor((1+sqrt(1+8*n))/2); # Gives integral inverses of the triangular numbers

CROSSREFS

Rows = A038183, A048711, A048713, columns = A038184, A048712, A048713, diagonal = A048709. Cf. A048720.

Sequence in context: A240030 A032412 A114970 * A126142 A216560 A019340

Adjacent sequences:  A048707 A048708 A048709 * A048711 A048712 A048713

KEYWORD

nonn,tabl

AUTHOR

Antti Karttunen, Mar 18 1999

STATUS

approved

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Last modified February 17 20:32 EST 2018. Contains 299297 sequences. (Running on oeis4.)