A255735 Integers that are Rhonda numbers to base 18.

1470, 3000, 8918, 17025, 19402, 20650, 21120, 22156, 26522, 36549, 38354, 43281, 46035, 48768, 54229, 54528, 56584, 58216, 58224, 62238, 68096, 68150, 73161, 74024, 74636, 87978, 94041, 114000, 124656, 132240, 133926, 135876, 153105, 153870, 156621, 159819

Offset: 1

Author

Reinhard Zumkeller, Mar 05 2015

Keywords

• nonn
• base

Comments

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

Examples

			a(1) = 1470 = 4*18^2 + 9*18^1 + 12*18^0 = 2*3*5*7*7,
with 4 * 9 * 12 = 18 * (2+3+5+7+7) = 432;
a(10) = 36549 = 6*18^3 + 4*18^2 + 14*18^1 + 9*18^0 = 3*3*31*131,
with 6 * 4 * 14 * 9 = 18 * (3+3+31+131) = 3024.
		

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), A100972 (base 14), A100974 (base 15), A100975 (base 16), A255732 (base 20), A255736 (base 30), A255731 (base 60), A255872.

Cf. A001414, A027746.

Column k=10 of A291925.

Programs

Haskell

a255735 n = a255735_list !! (n-1)
a255735_list = filter (rhonda 18) $ iterate z 1 where
   z x = 1 + if r < 17 then x else 18 * z x' where (x', r) = divMod x 18
-- Function rhonda as in A099542.