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Revision History for A294069 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A294069 The smallest digit of a(n+1) is strictly smaller than the largest digit of a(n)
(history; published version)
#18 by Alois P. Heinz at Mon Mar 09 22:11:13 EDT 2020
STATUS

proposed

approved

#17 by Jon E. Schoenfield at Mon Mar 09 19:43:32 EDT 2020
STATUS

editing

proposed

#16 by Jon E. Schoenfield at Mon Mar 09 19:43:29 EDT 2020
AUTHOR

Eric Angelini and _Jean-Marc Falcoz_ _, Feb 07 2018

#15 by Jon E. Schoenfield at Mon Mar 09 19:43:21 EDT 2020
COMMENTS

From Robert G. Wilson v, Feb 707 2018; (: (Start)

(End).)

EXAMPLE

The "0" of 10 is strictly < “ < "1”, ", which is the largest digit of 1;

The "0" of 20 is strictly < “ < "1”, ", which is the largest digit of 10;

The "1" of 11 is strictly < “ < "2”, ", which is the largest digit of 20;

The "0" of 30 is strictly < “ < "1”, ", which is the largest digit of 11;

The "2" of 2 is strictly < “ < "3”, ", which is the largest digit of 30;

The "1" of 12 is strictly < “ < "2”, ", which is the largest digit of 2; etc.

STATUS

approved

editing

#14 by N. J. A. Sloane at Wed Feb 07 12:03:43 EST 2018
STATUS

proposed

approved

#13 by Robert G. Wilson v at Wed Feb 07 11:25:00 EST 2018
STATUS

editing

proposed

#12 by Robert G. Wilson v at Wed Feb 07 11:21:58 EST 2018
COMMENTS

The sequence starts with a(1) = 1 and was always extended with the smallest integer not yet present and not leading to a contradiction.

From Robert G. Wilson v, Feb 7 2018; (Start)

Inverse: 1, 6, 10, 12, 14, 16, 18, 20, 2, 4, 7, 8, 9, 11, 13, 15, 17, 19, 3, ..., .

Permutation of the Integers.

(End).

#11 by Robert G. Wilson v at Wed Feb 07 11:17:28 EST 2018
MATHEMATICA

f[s_List] := Block[{k = 1, mx = Max@IntegerDigits@s[[-1]]}, While[MemberQ[s, k] || Min@IntegerDigits@k >= mx, k++]; Append[s, k]]; Nest[f, {1}, 80] (* Robert G. Wilson v, Feb 07 2018 *)

STATUS

proposed

editing

#10 by David A. Corneth at Wed Feb 07 10:50:45 EST 2018
STATUS

editing

proposed

#9 by David A. Corneth at Wed Feb 07 10:46:15 EST 2018
CROSSREFS

Cf. A002283, A011540, A284062-A284069.

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Last modified August 29 22:07 EDT 2024. Contains 375518 sequences. (Running on oeis4.)