A100974 Integers that are Rhonda numbers to base 15.

2392, 2472, 11468, 15873, 17424, 18126, 19152, 20079, 24388, 30758, 31150, 33004, 33550, 37925, 39483, 42550, 44714, 58870, 59605, 66950, 70182, 71485, 71709, 85557, 85848, 86241, 86591, 92150, 110334, 112671, 113300, 116270, 120414

Offset: 1

Author

Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 25 2004

Keywords

• easy
• nonn
• base

Comments

See A099542 for definition of Rhonda numbers and for some links.

Examples

			The product of the base 15 digits of 2392 is 10*9*7=630. The sum of the prime factors of 2392 is 3*2+13+23=42 and 630=15*42. So 2392 is a Rhonda number to base 15.
		

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..1000
• Eric Weisstein's World of Mathematics, Rhonda Number

Crossrefs

Cf. Rhonda numbers to other bases: A100968 (base 4), A100969 (base 6), A100970 (base 8), A100973 (base 9), A099542 (base 10), A100971 (base 12), A100972 (base 14), A100975 (base 16), A255735 (base 18), A255732 (base 20), A255736 (base 30), A255731 (base 60).

Cf. A001414, A027746, A255872.

Column k=8 of A291925.

Programs

Haskell

a100974 n = a100974_list !! (n-1)
a100974_list = filter (rhonda 15) $ iterate z 1 where
   z x = 1 + if r < 14 then x else 15 * z x' where (x', r) = divMod x 15
-- Function rhonda as in A099542.
-- Reinhard Zumkeller, Mar 07 2015