OFFSET
1,2
COMMENTS
Restricted growth sequence transform of the function f given in the definition.
For all i, j >= 1:
LINKS
Antti Karttunen, Table of n, a(n) for n = 1..100000
PROG
(PARI)
up_to = 100000;
rgs_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), u=1); for(i=1, length(invec), if(mapisdefined(om, invec[i]), my(pp = mapget(om, invec[i])); outvec[i] = outvec[pp] , mapput(om, invec[i], i); outvec[i] = u; u++ )); outvec; };
A083345(n) = { my(f=factor(n)); numerator(vecsum(vector(#f~, i, f[i, 2]/f[i, 1]))); };
A276085(n) = { my(f=factor(n)); sum(k=1, #f~, f[k, 2]*prod(i=1, primepi(f[k, 1]-1), prime(i))); };
v374131 = rgs_transform(vector(up_to, n, Aux374131(n)));
A374131(n) = v374131[n];
CROSSREFS
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jun 30 2024
STATUS
approved