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A336876 a(n) is the least m such that A336826(n) = m*p(m) (where p(m) is the product of decimal digits of m). 7
0, 1, 2, 3, 11, 4, 12, 5, 6, 13, 21, 7, 14, 8, 15, 9, 22, 31, 16, 111, 17, 23, 18, 41, 19, 24, 112, 121, 25, 51, 33, 26, 42, 113, 61, 27, 131, 34, 211, 28, 114, 122, 71, 43, 52, 29, 35, 141, 115, 36, 116, 44, 123, 62, 151, 37, 132, 53, 91, 212, 221, 45, 38 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Some terms of A336826 have several representations as the product of a number and of its decimal digits; for example 549504 has four such representations: 1696 * 1 * 6 * 9 * 6, 2862 * 2 * 8 * 6 * 2, 3392 * 3 * 3 * 9 * 2 and 3816 * 3 * 8 * 1 * 6.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, C program for A336876

FORMULA

A098736(a(n)) = A336826(n).

EXAMPLE

For n = 26:

- A336826(26) = 192,

- the divisors d of 192, alongside d*p(d), are:

  d    d*p(d)

  ---  ------

    1       1

    2       4

    3       9

    4      16

    6      36

    8      64

   12      24

   16      96

   24     192

   32     192

   48    1536

   64    1536

   96    5184

  192    3456

- so a(26) = min(24, 32) = 24.

PROG

(C) See Links section.

CROSSREFS

Cf. A007954, A098736, A336826, A336879.

Sequence in context: A073098 A201267 A046641 * A083664 A083125 A332661

Adjacent sequences:  A336873 A336874 A336875 * A336877 A336878 A336879

KEYWORD

nonn,look,base

AUTHOR

Rémy Sigrist, Aug 06 2020

STATUS

approved

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Last modified September 19 18:59 EDT 2020. Contains 337182 sequences. (Running on oeis4.)