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URL: https://oeis.org/A100969

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A100969
Integers that are Rhonda numbers to base 6.
17
855, 1029, 3813, 5577, 7040, 7304, 15104, 19136, 35350, 36992, 41031, 42009, 60368, 65536, 67821, 76880, 84525, 90601, 122831, 131175, 154570, 162565, 184009, 184585, 196504, 217021, 219830, 222200, 252161, 256041, 268677, 353115, 355737, 357568, 367517, 371229, 388367
OFFSET
1,1
COMMENTS
See sequence A099542 for definition of Rhonda numbers and links.
LINKS
Eric Weisstein's World of Mathematics, Rhonda Number
Wikipedia, Senary
EXAMPLE
The product of the base 6 digits of 507500 is 1*4*5*1*3*3*1*2=360 and the sum of the prime factors of 507500 is 2*2+4*5+7+29=60 and 360=6*60.
MATHEMATICA
A100969Q[k_] := Times @@ IntegerDigits[k, 6] == 6*Total[Times @@@ FactorInteger[k]];
Select[Range[400000], A100969Q] (* Paolo Xausa, Jul 01 2025 *)
PROG
(Haskell)
a100969 n = a100969_list !! (n-1)
a100969_list = filter (rhonda 6) a248910_list
-- Function rhonda as in A099542.
-- Reinhard Zumkeller, Mar 08 2015
CROSSREFS
Cf. Rhonda numbers to other bases: A100968 (base 4), A100970 (base 8), A100973 (base 9), A099542 (base 10), A100971 (base 12), A100972 (base 14), A100974 (base 15), A100975 (base 16), A255735 (base 18), A255732 (base 20), A255736 (base 30), A255731 (base 60), see also A255872.
Cf. A001414, A027746, A007092, subsequence of A248910.
Column k=2 of A291925.
Sequence in context: A085323 A185639 A105275 * A183998 A209502 A198527
KEYWORD
easy,nonn,base
AUTHOR
Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 24 2004
STATUS
approved