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

1,1

Comments

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

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Rhonda Number

Wikipedia, Hexadecimal

Example

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.

Prog

(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

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.

Sequence in context: A291346 A191753 A033830 * A105276 A145517 A342975

Adjacent sequences: A100972 A100973 A100974 * A100976 A100977 A100978

Keyword

easy,nonn,base

Author

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

Extensions

Offset fixed by Reinhard Zumkeller, Mar 05 2015

Status

approved