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

1,1

Comments

See sequence 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

Example

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.

Prog

(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

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.

Sequence in context: A204569 A023071 A349746 * A293371 A251879 A201048

Adjacent sequences: A100969 A100970 A100971 * A100973 A100974 A100975

Keyword

easy,nonn,base

Author

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

Status

approved