cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A048710 #13 Jan 02 2017 04:04:24
%S A048710 1,5,7,17,27,21,85,119,65,107,257,427,325,455,273,1285,1799,1105,1755,
%T A048710 1365,1911,4369,6939,5397,7607,4097,6827,5189,21845,30583,16705,27499,
%U A048710 20485,28679,17745,28123,65537
%N A048710 Family 1 "Rule 90 x Rule 150 Array" read by antidiagonals.
%C A048710 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).
%C A048710 No pattern occurs twice in such arrays.
%C A048710 Each row/column can be generated from its predecessor row/column with SHIFTXORADJ transformation, given in A048711.
%H A048710 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%H A048710 <a href="http://www.iki.fi/%7Ekartturi/matikka/r90x150a.htm">More information</a>
%F A048710 a(n) = rule150(rule90(1, (((trinv(n)-1)*(((1/2)*trinv(n))+1))-n)), (n-((trinv(n)*(trinv(n)-1))/2))).
%e A048710    1  5  17   85  257 1105 ... [ beginning of array ]
%e A048710    7 27 119  427 1799 ...
%e A048710   21 65 325 1105 5397 ...
%p A048710 trinv := n -> floor((1+sqrt(1+8*n))/2); # Gives integral inverses of the triangular numbers
%Y A048710 Rows = A038183, A048711, A048713, columns = A038184, A048712, A048713, diagonal = A048709. Cf. A048720.
%K A048710 nonn,tabl
%O A048710 0,2
%A A048710 _Antti Karttunen_, Mar 18 1999