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A308393 "Autotomy numbers" have two properties: (1) they have distinct decimal digits, and (2) subtracting their last digit from the remaining part produces another autotomy number (the numbers 1 to 9 are considered to be part of the sequence). 2
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 21, 30, 31, 32, 40, 41, 42, 43, 50, 51, 52, 53, 54, 60, 61, 62, 63, 64, 65, 70, 71, 72, 73, 74, 75, 76, 80, 81, 82, 83, 84, 85, 86, 87, 90, 91, 92, 93, 94, 95, 96, 97, 98, 210, 243, 254, 265, 276, 287, 298, 309, 310, 320, 321, 342, 354, 364, 365, 375, 376, 386, 387, 397, 398, 408, 409, 410, 419, 420, 421 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

There are exactly 41943 autotomy numbers. For autotomy numbers with 10 distinct decimal digits, see the Crossref section.

LINKS

Jean-Marc Falcoz, Table of n, a(n) for n = 1..41943

Eric Angelini, Pandigitaux et saucissons (in French).

EXAMPLE

a(56) = 243 is in the sequence because 24-3 = 21 and 21 is already in the sequence. The same is true for a(57) = 254 as 25-4 = 21 too.

CROSSREFS

Cf. A308377 (autotomy numbers with 10 distinct decimal digits).

Sequence in context: A247804 A032865 A032889 * A009995 A190219 A038367

Adjacent sequences:  A308390 A308391 A308392 * A308394 A308395 A308396

KEYWORD

base,nonn,fini

AUTHOR

Eric Angelini and Jean-Marc Falcoz, May 24 2019

STATUS

approved

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Last modified May 27 21:52 EDT 2020. Contains 334671 sequences. (Running on oeis4.)