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%I #11 Sep 07 2017 15:51:27
%S 11475,18655,20565,29631,31725,45387,58404,58667,59950,63945,67525,
%T 68904,91245,99603,125543,135196,141141,148645,149575,168270,175577,
%U 204611,207230,237540,240006,240787,275429,287950,321867,338709,358984
%N Integers that are Rhonda numbers to base 14.
%C See sequence A099542 for definition of Rhonda numbers and for some links.
%H Reinhard Zumkeller, <a href="/A100972/b100972.txt">Table of n, a(n) for n = 1..1000</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/RhondaNumber.html">Rhonda Number</a>
%e The product of the base 14 digits of 11475 is 4*2*7*9=504, the sum of the prime factors of 11475 is 3*3+2*5+17=46 and 504=14*36, so 11475 is a Rhonda number to base 14.
%o (Haskell)
%o a100972 n = a100972_list !! (n-1)
%o a100972_list = filter (rhonda 14) $ iterate z 1 where
%o z x = 1 + if r < 13 then x else 14 * z x' where (x', r) = divMod x 14
%o -- Function rhonda as in A099542.
%o -- _Reinhard Zumkeller_, Mar 07 2015
%Y Cf. Rhonda numbers to other bases: A100968 (base 4), A100969 (base 6), A100970 (base 8), A100973 (base 9), A099542 (base 10), A100971 (base 12), A100974 (base 15), A100975 (base 16), A255735 (base 18), A255732 (base 20), A255736 (base 30), A255731 (base 60).
%Y Cf. A001414, A027746, A255872.
%Y Column k=7 of A291925.
%K easy,nonn,base
%O 1,1
%A Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 25 2004
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