A232486 a(1) = 3; thereafter a(n+1) = a(n) + product of nonzero digits of a(n).

3, 6, 12, 14, 18, 26, 38, 62, 74, 102, 104, 108, 116, 122, 126, 138, 162, 174, 202, 206, 218, 234, 258, 338, 410, 414, 430, 442, 474, 586, 826, 922, 958, 1318, 1342, 1366, 1474, 1586, 1826, 1922, 1958, 2318, 2366, 2582, 2742, 2854, 3174, 3258, 3498, 4362, 4506

Offset: 1

Author

N. J. A. Sloane, Nov 29 2013

Keywords

• nonn
• base

Links

• 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

Crossrefs

Cf. A063018, A232485, A232487, A232488.

Programs

Maple

f:=proc(n) local t1,t2,i;
t1:=convert(n,base,10);
t2:=1;
for i from 1 to nops(t1) do if t1[i] <> 0 then t2:=t2*t1[i]; fi; od;
t2; end;
g:=n->n+f(n);
t1:=[3];
for n from 1 to 50 do t1:=[op(t1),g(t1[nops(t1)])]; od:
t1;