A048710 Family 1 "Rule 90 x Rule 150 Array" read by antidiagonals.

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

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