A099543 Sums of the prime factors of the Rhonda numbers to base 10 (sequence A099542). The terms in this sequence are equal to (Product of digits of terms of A099542)/10, which is simply the definition of Rhonda numbers to base 10.

24, 24, 28, 30, 54, 72, 32, 24, 48, 72, 30, 216, 54, 64, 72, 126, 162, 60, 90, 168, 504, 84, 63, 84, 504, 70, 270, 168, 54, 96, 252, 288, 96, 168, 343, 784, 96, 216, 405, 96, 324, 108, 48, 1260, 160, 144, 192, 1134, 243, 252, 1080, 72, 192, 144, 486, 81, 48

Offset: 1

Author

Mark Hudson (mrmarkhudson(AT)hotmail.com), Oct 21 2004

Keywords

• nonn
• base
• changed

Examples

			The first term in A099542 is 1568. The sum of its prime factors is 24.
		

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..1000
• Eric Weisstein's World of Mathematics, Rhonda Number

Crossrefs

Cf. A001414, A099542.

Programs

Haskell

a099543 = a001414 . a099542  -- Reinhard Zumkeller, Dec 01 2012

Mathematica

rnQ[n_]:=Times@@IntegerDigits[n]==10Total[Times@@@FactorInteger[n]]; Times@@IntegerDigits[#]/10&/@ Select[Range[350000], rnQ]  (* Harvey P. Dale, Mar 13 2011 *)

Formula

a(n) = A001414(A099542(n)). - Reinhard Zumkeller, Dec 01 2012

Extensions

More terms from Harvey P. Dale, Mar 13 2011