A195191 Smallest n-Smith number.

32, 402, 2401, 2030, 10112, 10, 200, 10200, 10010, 100200, 1000110, 1000200, 100, 20000, 10200000, 1001000, 100200000, 1000110000, 1000200000, 1000, 2000000, 10200000000, 100100000, 100200000000, 1000110000000, 1000000000100, 10000, 200000000

Offset: 2

Author

Kausthub Gudipati, Sep 11 2011

Keywords

• nonn
• base

Comments

The smallest number for which the sum of the digits of its prime factors equals n multiplied by the sum of its digits.

Examples

			The first term of A104390, the first term of A104391, the first term of A103125 etc.
		

Links

• Shyam Sunder Gupta, Smith numbers

Programs

Maple

A007953 := proc(n) add(d,d=convert(n,base,10)) ; end proc:
A118503 := proc(n) a := 0 ; for p in ifactors(n)[2] do a := a+ op(2,p)*A007953(op(1,p)) ; end do: a ; end proc:
A195191 := proc(n) for k from 1 do if A118503(k) = n*A007953(k) then return k; end if; end do: end proc: # R. J. Mathar, Sep 14 2011

Extensions

a(12)-a(29) from Donovan Johnson, Sep 15 2011