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A302801 a(n) is the number whose digits result from the concatenation of the digits of n and the digits of the product of the digits of n. 1
0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 100, 111, 122, 133, 144, 155, 166, 177, 188, 199, 200, 212, 224, 236, 248, 2510, 2612, 2714, 2816, 2918, 300, 313, 326, 339, 3412, 3515, 3618, 3721, 3824, 3927, 400, 414, 428, 4312, 4416, 4520, 4624, 4728, 4832, 4936, 500, 515 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..51.

Altug Alkan, Line graph of first differences of a(n) for n <= 10^5

EXAMPLE

For n=10, the digits of n are 1 and 0, their product is 0, and the concatenation gives 1 0 0.

MAPLE

op([0, seq(parse(cat(convert(n, string), convert(convert(convert(n, base, 10), `*`), string))), n=1..51)]); # Paolo P. Lava, Apr 17 2018

PROG

(PARI) mydigits(n) = if (n, digits(n), [0]);

a(n) = my(d = mydigits(n)); fromdigits(concat(d, mydigits(prod(k=1, #d, d[k]))));

CROSSREFS

Cf. A007954, A108773, A302575.

Sequence in context: A276769 A160861 A302575 * A067042 A078273 A345391

Adjacent sequences:  A302798 A302799 A302800 * A302802 A302803 A302804

KEYWORD

nonn,base,easy

AUTHOR

Michel Marcus, Apr 13 2018

STATUS

approved

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Last modified January 22 11:40 EST 2022. Contains 350481 sequences. (Running on oeis4.)