A100972 Integers that are Rhonda numbers to base 14.

11475, 18655, 20565, 29631, 31725, 45387, 58404, 58667, 59950, 63945, 67525, 68904, 91245, 99603, 125543, 135196, 141141, 148645, 149575, 168270, 175577, 204611, 207230, 237540, 240006, 240787, 275429, 287950, 321867, 338709, 358984

Offset: 1

Author

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

Keywords

• easy
• nonn
• base

Comments

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

Examples

			The product of the base 14 digits of 11475 is 4*2*7*9=504, the sum of the prime factors of 11475 is 3*3+2*5+17=46 and 504=14*36, so 11475 is a Rhonda number to base 14.
		

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), A100974 (base 15), A100975 (base 16), A255735 (base 18), A255732 (base 20), A255736 (base 30), A255731 (base 60).

Cf. A001414, A027746, A255872.

Column k=7 of A291925.

Programs

Haskell

a100972 n = a100972_list !! (n-1)
a100972_list = filter (rhonda 14) $ iterate z 1 where
   z x = 1 + if r < 13 then x else 14 * z x' where (x', r) = divMod x 14
-- Function rhonda as in A099542.
-- Reinhard Zumkeller, Mar 07 2015