A100975 Integers that are Rhonda numbers to base 16.

1000, 1134, 6776, 15912, 19624, 20043, 20355, 23946, 26296, 29070, 31906, 32292, 34236, 34521, 36465, 39066, 50055, 50986, 52341, 54340, 58088, 59541, 75867, 85870, 87150, 88182, 93058, 95944, 99674, 101460, 109650, 109810, 119480, 124500

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 16 digits of 1000 is 3*14*8=336. The sum of the prime factors of 1000 is 3*2+3*5=21. 336=16*21 and so 1000 is a Rhonda number to base 16.
		

Links

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

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), A100974 (base 15), A255735 (base 18), A255732 (base 20), A255736 (base 30), A255731 (base 60).

Cf. A001414, A027746, A255872.

Column k=9 of A291925.

Programs

Haskell

a100975 n = a100975_list !! (n-1)
a100975_list = filter (rhonda 16) $ iterate z 1 where
   z x = 1 + if r < 15 then x else 16 * z x' where (x', r) = divMod x 16
-- Function rhonda as in A099542.
-- Reinhard Zumkeller, Mar 07 2015

Extensions

Offset fixed by Reinhard Zumkeller, Mar 05 2015