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A364958
Fixed points of A356867, where A356867 is Sycamore's Doudna variant D(3).
3
1, 2, 3, 6, 8, 9, 18, 24, 27, 54, 72, 81, 91, 162, 216, 243, 273, 486, 648, 729, 819, 1458, 1944, 2187, 2457, 4374, 5832, 6561, 7371, 13122, 17496, 19683, 22113, 39366, 52488, 59049, 66339, 118098, 157464, 177147, 199017, 354294, 472392, 531441, 597051, 1062882, 1417176, 1594323, 1791153, 3188646, 4251528, 4782969
OFFSET
1,2
COMMENTS
Conjecture: All terms are of the form k*3^n, where k = 1,2,8,91, and n >= 0. - David James Sycamore, Aug 16 2023
FORMULA
{k | k==A356867(k)}.
PROG
(PARI)
up_to = 3^14;
A356867list(up_to) = { my(v=vector(up_to), met=Map(), h=0, ak); for(i=1, #v, if(1==vecsum(digits(i, 3)), v[i] = i; h = i, ak = v[i-h]; forprime(p=2, , if(3!=p && !mapisdefined(met, p*ak), v[i] = p*ak; break))); mapput(met, v[i], i)); (v); };
v356867 = A356867list(up_to);
A356867(n) = v356867[n];
isA364958(n) = (A356867(n)==n);
CROSSREFS
Fixed points of A356867 and of A365390, positions of 0's in A365462.
Sequence in context: A289943 A089437 A146768 * A211370 A122479 A351125
KEYWORD
nonn
AUTHOR
STATUS
approved