A351952 a(n) = A351950(n) / A351577(n).

0, 1, 1, 5, 2, 7, 1, 7, 8, 31, 13, 41, 2, 9, 11, 37, 16, 47, 3, 11, 14, 43, 19, 53, 1, 9, 10, 41, 17, 55, 12, 59, 71, 247, 106, 317, 19, 73, 92, 289, 127, 359, 26, 87, 113, 331, 148, 401, 2, 11, 13, 47, 20, 61, 17, 69, 86, 277, 121, 347, 24, 83, 107, 319, 142, 389, 31, 97, 128, 361, 163, 431, 3, 13, 16, 53, 23, 67

Offset: 0

Author

Antti Karttunen, Apr 01 2022

Keywords

• nonn
• base
• look

Comments

Compare how different the scatter plot is to that of A342002, albeit with a very similar definition.

Note: this is at least partly because the other uses linear and the other uses logarithmic scatter plot. - Antti Karttunen, Oct 23 2024

Links

• Antti Karttunen, Table of n, a(n) for n = 0..20160
• Index entries for sequences related to factorial base representation

Crossrefs

Cf. A000142 (positions of 1's), A003415, A003557, A083345, A225901, A276076, A342001, A342002, A351576, A351577, A351950, A351953, A351954.

Programs

PARI

A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A003557(n) = (n/factorback(factorint(n)[, 1]));
A276076(n) = { my(i=0,m=1,f=1,nextf); while((n>0),i=i+1; nextf = (i+1)*f; if((n%nextf),m*=(prime(i)^((n%nextf)/f));n-=(n%nextf));f=nextf); m; };
A351952(n) = { my(u=A276076(n)); (A003415(u) / A003557(u)); };

Formula

a(n) = A351950(n) / A351577(n).

a(n) = A342001(A276076(n)) = A083345(A276076(n)).

a(n) = A342002(A351576(n)).

a(n) = A351953(A225901(n)).