

A062237


Numbers n which are (sum of digits of n) concatenated with (product of digits of n).


0



10, 20, 30, 40, 50, 60, 70, 80, 90, 119, 1236, 19135, 19144, 261296, 3634992, 43139968
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OFFSET

1,1


COMMENTS

For a ddigit number with d >= 88, the sum and product of the digits together have fewer than d digits. So every element of this sequence has 87 or fewer digits, hence it is finite.  David W. Wilson, Apr 28 2005
If we exchange sum with product we get 911, 3612, 13519, 14419, 129626, 3499236, 13996843 that are circular permutations of the last seven terms.  Paolo P. Lava, Apr 10 2018


LINKS

Table of n, a(n) for n=1..16.


EXAMPLE

1236 has sum of digits 12 and product of digits 36.


MAPLE

P:=proc(q) local n; for n from 1 to q do
if n=parse(cat(convert(convert(n, base, 10), `+`), convert(convert(n, base, 10), `*`)))
then print(n); fi; od; end: P(10^8); # Paolo P. Lava, Apr 10 2018


CROSSREFS

Sequence in context: A028440 A332046 A166511 * A162467 A033022 A031497
Adjacent sequences: A062234 A062235 A062236 * A062238 A062239 A062240


KEYWORD

nonn,base,fini,full


AUTHOR

Erich Friedman, Jun 30 2001


EXTENSIONS

More terms from Harvey P. Dale, Jul 04 2001
More terms from David W. Wilson, Apr 28 2005; he reports on May 03 2005 that there are no further terms.
Offset corrected by Altug Alkan, Apr 10 2018


STATUS

approved



