A344752 Quotient A306927(k) / A344705(k) computed for such k >= 1 that the quotient is a nonnegative natural number. (The k are given by A344700.)

0, 1, 2, 1, 3, 1, 12, 21, 2, 3, 36, 4, 4, 61, 2, 3, 5, 243, 36, 2, 1, 70, 345, 90, 5, 5, 38, 11, 3, 131, 25, 87, 172, 2, 9, 5, 228, 5, 20, 43, 18, 5, 10, 304, 3, 1035, 31, 1301, 7, 172, 8, 554, 60, 15, 295, 59, 14, 150, 110, 7, 2439, 258, 371, 5, 549, 8, 13, 15, 63, 1134, 24, 900, 23, 50, 7, 4, 27, 1292, 254, 6681, 5, 18

Offset

1,3

Links

Table of n, a(n) for n=1..82.

Prog

(PARI)
A001615(n) = if(1==n, n, my(f=factor(n)); prod(i=1, #f~, f[i, 1]^f[i, 2] + f[i, 1]^(f[i, 2]-1))); \\ After code in A001615
isA344700_and_give_quotient(n) = { my(t=A001615(n), s=sigma(n), u = (n+t)-s); if(((u>0)&&(0==((t-n)%u))), ((t-n)/u), 0); };
for(n=1, 2^17, x=isA344700_and_give_quotient(n); if(x>0||(1==n), print1(x, ", ")));

Crossrefs

Cf. A000203, A001615, A306927, A344700, A344705.

Sequence in context: A195909 A195697 A137764 * A057082 A218951 A353762

Adjacent sequences: A344749 A344750 A344751 * A344753 A344754 A344755

Keyword

nonn

Author

Antti Karttunen, May 28 2021

Status

approved