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proposed

Numbers n from which zero or more applications of A003415 will eventually lead to 5.

Antti Karttunen, <a href="/A328115/b328115.txt">Table of n, a(n) for n = 1..10000</a>

allocatedNumbers n from which zero or more applications of A003415 will eventually forlead Anttito Karttunen5.

5, 6, 9, 14, 33, 49, 62, 94, 177, 445, 817, 886, 913, 961, 1146, 1155, 1633, 1719, 1822, 2006, 2173, 2209, 2306, 2625, 2649, 2825, 3255, 3430, 3450, 3871, 4018, 4405, 4414, 4575, 4638, 4869, 5294, 5687, 6009, 6162, 6506, 6849, 8110, 8113, 8126, 8334, 8570, 9741, 9770, 10222, 10635, 11221, 12014, 13377, 13458, 13767, 13993, 15351

1,1

Union of {5} with those terms of k of A099308 for which A327968(k) = 5.

(PARI)

A003415checked(n) = if(n<=1, 0, my(f=factor(n), s=0); for(i=1, #f~, if(f[i, 2]>=f[i, 1], return(0), s += f[i, 2]/f[i, 1])); (n*s));

isA328115(n) = { while((n>5), n = A003415checked(n)); (5==n); };

k=0; n=0; while(k<100, n++; if(isA328115(n), k++; print1(n, ", ")));

Cf. A003415, A099308, A327968, A327975, A328117.

allocated

nonn

Antti Karttunen, Oct 07 2019

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allocated for Antti Karttunen

allocated

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