A063114 a(n) = n + product of the nonzero digits of n.

2, 4, 6, 8, 10, 12, 14, 16, 18, 11, 12, 14, 16, 18, 20, 22, 24, 26, 28, 22, 23, 26, 29, 32, 35, 38, 41, 44, 47, 33, 34, 38, 42, 46, 50, 54, 58, 62, 66, 44, 45, 50, 55, 60, 65, 70, 75, 80, 85, 55, 56, 62, 68, 74, 80, 86, 92, 98, 104, 66, 67, 74, 81, 88, 95, 102, 109, 116

Offset

1,1

Links

Harry J. Smith, Table of n, a(n) for n = 1..1000

P. A. Loomis, An Interesting Family of Iterated Sequences

P. A. Loomis, An Introduction to Digit Product Sequences, J. Rec. Math., 32 (2003-2004), 147-151.

P. A. Loomis, An Introduction to Digit Product Sequences, J. Rec. Math., 32 (2003-2004), 147-151. [Annotated archived copy]

Index entries for Colombian or self numbers and related sequences

Formula

a(n) = n + A051801(n). - Reinhard Zumkeller, Jan 15 2012

Example

a(59) = 59 + 5*9 = 104. a(66) = 66 + 6*6 = 102.

Mathematica

Table[i+Times@@(IntegerDigits[i]/. 0->1), {i, 70}]

Prog

(ARIBAS): var stk: stack; end; for n := 1 to 80 do s := itoa(n); for j := 0 to length(s) -1 do k := atoi(s[j..j]); if k > 0 then stack_push(stk, k); end; end; write(n + product(stack2array(stk)), " "); end;
(PARI) a(n) = n + vecprod(select(x->(x!=0), digits(n))) \\ Harry J. Smith, Aug 19 2009
(Haskell)
a063114 n = n + a051801 n -- Reinhard Zumkeller, Jan 15 2012

Crossrefs

Cf. A051801, A063108, A063112, A063113, A063543.

Sequence in context: A098727 A182324 A095815 * A064806 A062028 A262223

Adjacent sequences: A063111 A063112 A063113 * A063115 A063116 A063117

Keyword

nonn,easy,base,look,changed

Author

N. J. A. Sloane, Aug 08 2001

Extensions

More terms from Robert G. Wilson v and Klaus Brockhaus, Aug 09 2001

Status

approved