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).

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

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