OFFSET
1,2
COMMENTS
a(8) > 3.7*10^10.
a(8) <= 1770019255373287038727484868192109228824 which is the conjectured value of A219452(8)+1. - Giorgos Kalogeropoulos, Jan 15 2024
FORMULA
A051903(a(n)) >= k for 2^k <= n < 2^(k+1)-1.
MATHEMATICA
emax[n_] := Max[FactorInteger[n][[;; , 2]]]; emax[1] = 0; ind = Position[Differences[Table[emax[n], {n, 1, 10^6}]], _?(# != 0 &)] // Flatten; d = Differences[ind]; seq = {1}; Do[i = FirstPosition[d, k]; If[MissingQ[i], Break[]]; AppendTo[seq, ind[[i[[1]]]] + 1], {k, 2, Max[d]}]; seq
PROG
(PARI) emax(n) = vecmax(factor(n)[, 2]);
lista(len) = {my(v = vector(len), w = [0], m, c = 0, k = 2); while(c < len, e = emax(k); m = #w; if(e == w[m], w = concat(w, e), if(m < = len && v[m] == 0, v[m] = k-m; c++); w = [e]); k++); v; }
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Amiram Eldar, Jan 12 2024
STATUS
approved