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A100971 Integers n that are Rhonda numbers to base 12. 16
560, 800, 3993, 4425, 4602, 4888, 7315, 8296, 9315, 11849, 12028, 13034, 14828, 15052, 16264, 18511, 18906, 25619, 25875, 27176, 32742, 37264, 37523, 46035, 50765, 52338, 58261, 58504, 59166, 62002, 66176, 66752, 66928, 67195, 68502 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
See sequence A099542 for the definition of Rhonda numbers and some links. 560 is the smallest integer that is a Rhonda number to some base.
LINKS
Eric Weisstein's World of Mathematics, Rhonda Number
Wikipedia, Duodecimal
EXAMPLE
The product of the base 12 digits of 560 is 3*10*8=240; the sum of the prime factors of 560 is 4*2+5+7=20; and 240=12*20 so 560 is a Rhonda number to base 12.
PROG
(Haskell)
a100971 n = a100971_list !! (n-1)
a100971_list = filter (rhonda 12) $ iterate z 1 where
z x = 1 + if r < 11 then x else 12 * z x' where (x', r) = divMod x 12
-- 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), A100972 (base 14), A100974 (base 15), A100975 (base 16), A255735 (base 18), A255732 (base 20), A255736 (base 30), A255731 (base 60).
Column k=6 of A291925.
Sequence in context: A136346 A234263 A100987 * A253362 A217986 A260290
KEYWORD
easy,nonn,base
AUTHOR
Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 25 2004
STATUS
approved

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Last modified April 21 14:48 EDT 2024. Contains 371874 sequences. (Running on oeis4.)