A308377 "Autotomy numbers" that have exactly 10 distinct decimal digits. Subtracting their last digit from the remaining part produces a shorter autotomy number (still with no duplicate digit). This process is iterated until the remaining part has only one digit (details in the Example section).

2487159630, 2581740963, 3697512840, 3751908642, 3791508642, 3796512840, 4283716590, 4573921680, 4609785321, 4832716590, 4960785321, 4976853210, 5016793284, 5071693284, 5106793284, 5170693284, 5179386420, 5187429630, 5389710642, 5397186420, 5473921680, 5710693284, 5731908642, 5786413290, 5791308642, 5809764321, 5839710642, 5847102963, 5897130642, 5897643210, 5907864321

Offset

1,1

Comments

The sequence is finite and has 182 terms; a(182) = 9876543210.

Links

Jean-Marc Falcoz, Table of n, a(n) for n = 1..182

Eric Angelini, Pandigitaux et saucissons (in French).

Example

a(2) = 2581740963
Subtract 3 (last digit) from the remaining part 258174096 = 258174093
Subtract 3 (last digit) from the remaining part 25817409 = 25817406
Subtract 6 (last digit) from the remaining part 2581740 = 2581734
Subtract 4 (last digit) from the remaining part 258173 = 258169
Subtract 9 (last digit) from the remaining part 25816 = 25807
Subtract 7 (last digit) from the remaining part 2580 = 2573
Subtract 3 (last digit) from the remaining part 257 = 254
Subtract 4 (last digit) from the remaining part 25 = 21
Subtract 1 (last digit) from the remaining part 2 = 1 (single digit, end).

Crossrefs

Cf. A308393 (definition of an "autotomy number", A050278 (pandigital numbers, version 1: each digit appears exactly once), A171102 (pandigital numbers, version 2: each digit appears at least once).

Sequence in context: A289544 A258611 A120290 * A271105 A134439 A288844

Adjacent sequences: A308374 A308375 A308376 * A308378 A308379 A308380

Keyword

base,nonn,fini

Author

Eric Angelini and Jean-Marc Falcoz, May 23 2019

Status

approved