A100974 - OEIS

A100974

Integers that are Rhonda numbers to base 15.

2392, 2472, 11468, 15873, 17424, 18126, 19152, 20079, 24388, 30758, 31150, 33004, 33550, 37925, 39483, 42550, 44714, 58870, 59605, 66950, 70182, 71485, 71709, 85557, 85848, 86241, 86591, 92150, 110334, 112671, 113300, 116270, 120414

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OFFSET

1,1

COMMENTS

See 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 15 digits of 2392 is 10*9*7=630. The sum of the prime factors of 2392 is 3*2+13+23=42 and 630=15*42. So 2392 is a Rhonda number to base 15.

PROG

(Haskell)

a100974 n = a100974_list !! (n-1)

a100974_list = filter (rhonda 15) $ iterate z 1 where

z x = 1 + if r < 14 then x else 15 * z x' where (x', r) = divMod x 15

-- 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), A100972 (base 14), A100975 (base 16), A255735 (base 18), A255732 (base 20), A255736 (base 30), A255731 (base 60).

Cf. A001414, A027746, A255872.

Column k=8 of A291925.

Sequence in context: A172752 A020428 A253422 * A279538 A098680 A226149

Adjacent sequences: A100971 A100972 A100973 * A100975 A100976 A100977

KEYWORD

easy,nonn,base

AUTHOR

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

STATUS

approved