|
| |
|
|
A093510
|
|
Transform of the prime sequence by the Rule30 cellular automaton.
|
|
7
|
|
|
|
2, 3, 6, 8, 9, 11, 12, 14, 15, 17, 18, 20, 21, 23, 24, 25, 29, 30, 32, 33, 37, 38, 39, 41, 42, 44, 45, 47, 48, 49, 53, 54, 55, 59, 60, 62, 63, 67, 68, 69, 71, 72, 74, 75, 79, 80, 81, 83, 84, 85, 89, 90, 91, 97, 98, 99, 101, 102, 104, 105, 107, 108, 110, 111, 113, 114, 115
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
As described in A051006, a monotonic sequence can be mapped into a fractional real. Then the binary digits of that real can be treated (transformed) by an elementary cellular automaton. Taken resulted sequence of binary digits as a fractional real, it can be mapped back into a sequence, as in A092855.
|
|
|
LINKS
|
Table of n, a(n) for n=1..67.
Ferenc Adorjan, Binary mapping of monotonic sequences - the Aronson and the CA functions
Eric Weisstein's World of Mathematics, Elementary Cellular Automaton
Eric Weisstein's World of Mathematics, Rule30 Elementary Cellular Automaton
|
|
|
PROG
|
(PARI) {ca_tr(ca, v)= /* Calculates the Cellular Automaton transform of the vector v by the rule ca */
local(cav=vector(8), a, r=[], i, j, k, l, po, p=vector(3));
a=binary(min(255, ca)); k=matsize(a)[2]; forstep(i=k, 1, - 1, cav[k-i+1]=a[i]);
j=0; l=matsize(v)[2]; k=v[l]; po=1;
for(i=1, k+2, j*=2; po=isin(i, v, l, po); j=(j+max(0, sign(po)))% 8; if(cav[j+1], r=concat(r, i)));
return(r) /* See the function "isin" at A092875 */}
|
|
|
CROSSREFS
|
Cf. A092855, A051006, A093511, A093512, A093513, A093514, A093515, A093516, A093517.
Sequence in context: A084090 A047286 A201822 * A202341 A013948 A187478
Adjacent sequences: A093507 A093508 A093509 * A093511 A093512 A093513
|
|
|
KEYWORD
|
easy,nonn
|
|
|
AUTHOR
|
Ferenc Adorjan (fadorjan(AT)freemail.hu)
|
|
|
STATUS
|
approved
|
| |
|
|
