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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For a d-digit 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

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Last modified November 29 23:37 EST 2020. Contains 338780 sequences. (Running on oeis4.)