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

1,1

Links

Table of n, a(n) for n=1..51.

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

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;

Crossrefs

Cf. A063018, A232485, A232487, A232488.

Sequence in context: A339552 A102040 A232485 * A077152 A337747 A067759

Adjacent sequences: A232483 A232484 A232485 * A232487 A232488 A232489

Keyword

nonn,base

Author

N. J. A. Sloane, Nov 29 2013

Status

approved