|
|
A304734
|
|
Ordinal transform of the largest prime factor of the n-th term of EKG-sequence.
|
|
3
|
|
|
1, 1, 2, 1, 2, 3, 4, 3, 1, 2, 3, 5, 1, 2, 3, 6, 4, 4, 1, 2, 3, 7, 5, 6, 4, 5, 1, 2, 3, 8, 5, 1, 2, 3, 6, 1, 2, 3, 7, 8, 4, 1, 2, 3, 9, 9, 4, 10, 7, 8, 9, 10, 5, 5, 10, 1, 2, 3, 6, 1, 2, 3, 11, 6, 4, 1, 2, 3, 11, 6, 4, 12, 1, 2, 3, 12, 11, 7, 8, 1, 2, 3, 13, 5, 5, 14, 4, 1, 2, 3, 13, 12, 7, 8, 6, 9, 13, 14, 1, 2, 3, 6, 10, 14, 4
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
COMMENTS
|
|
|
LINKS
|
|
|
MATHEMATICA
|
terms = 105;
ekGrapher[s_List] := Block[{m = s[[-1]], k = 3}, While[MemberQ[s, k] || GCD[m, k] == 1, k++]; Append[s, k]];
A304733 = FactorInteger[#][[-1, 1]]& /@ Nest[ekGrapher, {1, 2}, terms];
b[_] = 0;
a[n_] := a[n] = With[{t = A304733[[n]]}, b[t] = b[t]+1];
|
|
PROG
|
(PARI)
A006530(n) = if(n>1, vecmax(factor(n)[, 1]), 1);
ordinal_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), pt); for(i=1, length(invec), if(mapisdefined(om, invec[i]), pt = mapget(om, invec[i]), pt = 0); outvec[i] = (1+pt); mapput(om, invec[i], (1+pt))); outvec; };
v304734 = ordinal_transform(vector(65539, n, A304733(n)));
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|