Sum-Product numbers
Eric W. Weisstein
eww at wolfram.com
Thu Feb 2 20:47:22 CET 2006
OEIS
http://www.research.att.com/~njas/sequences/A114457
gives the smallest k such that abs(S(k)P(k)-k) equals n, where S(k) is the
sum and P(k) is the product of decimal digits of k.
a(n) is small for 0<=n<=99, except for n=33 and 69. Brute-force searching
for a(33) shows that, if it exists, it must be > 10^11. Does anyone have
any ideas on how to find its value? (Or even show it exists?)
Cheers,
-Eric
More information about the SeqFan
mailing list