A364958 Fixed points of A356867, where A356867 is Sycamore's Doudna variant D(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

Links

Table of n, a(n) for n=1..52.

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

Adjacent sequences: A364955 A364956 A364957 * A364959 A364960 A364961

Keyword

nonn

Author

David James Sycamore and Antti Karttunen, Sep 15 2023

Status

approved