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

1,1

Comments

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

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Rhonda Number

Example

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.

Prog

(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.

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.

Sequence in context: A252578 A083526 A068753 * A252521 A237379 A237144

Adjacent sequences: A255732 A255733 A255734 * A255736 A255737 A255738

Keyword

nonn,base

Author

Reinhard Zumkeller, Mar 05 2015

Status

approved