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Search: id:A048710
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| A048710 |
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Family 1 "Rule 90 x Rule 150 Array" read by antidiagonals. |
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+0
6
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| 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; listen)
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OFFSET
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0,2
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COMMENT
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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.
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LINKS
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Index entries for sequences related to cellular automata
More information
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FORMULA
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a(n) = rule150(rule90(1, (((trinv(n)-1)*(((1/2)*trinv(n))+1))-n)), (n-((trinv(n)*(trinv(n)-1))/2)))
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EXAMPLE
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1 5 17 85 257 1105 ... [ beginning of array ]
7 27 119 427 1799 ...
21 65 325 1105 5397 ...
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MAPLE
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trinv := n -> floor((1+sqrt(1+8*n))/2); # Gives integral inverses of the triangular numbers
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CROSSREFS
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Rows = A038183, A048711, A048713, columns = A038184, A048712, A048713, diagonal = A048709. Cf. A048720.
Sequence in context: A025085 A032412 A114970 this_sequence A126142 A019340 A166977
Adjacent sequences: A048707 A048708 A048709 this_sequence A048711 A048712 A048713
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KEYWORD
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nonn,tabl
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AUTHOR
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Antti Karttunen, Mar 18 1999
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