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A302663 Lexicographically first sequence of distinct terms such that the absolute differences |a(n) - a(n+1)| are A002113(n+1), where A002113 is "the palindromes in base 10". 1
1, 2, 4, 7, 3, 8, 14, 21, 13, 22, 11, 33, 66, 110, 55, 121, 44, 132, 231, 130, 19, 140, 9, 150, 301, 462, 291, 472, 281, 483, 271, 493, 261, 503, 251, 513, 241, 523, 815, 512, 199, 522, 189, 532, 179, 542, 169, 552, 159, 563, 149, 573, 139, 583, 129, 593, 119, 603, 109, 614, 99, 624, 89, 634, 79, 644 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The sequence starts with a(1) = 1 and is always extended with the smallest integer not yet present that doesn't lead to a contradiction.

LINKS

Jean-Marc Falcoz, Table of n, a(n) for n = 1..2229

EXAMPLE

|1 - 2| = 1, which is the 2nd palindrome of A002113 (the 1st one being "0");

|2 - 4| = 2 which is the 3rd palindrome;

|4 - 7| = 3 which is the 4th palindrome;

|7 - 3| = 4 which is the 5th palindrome;

|3 - 8| = 5 which is the 6th palindrome;

|8 - 14| = 6 which is the 7th palindrome;

|14 - 21| = 7 which is the 8th palindrome;

|21 - 13| = 8 which is the 9th palindrome;

|13 - 22| = 9 which is the 10th palindrome;

|22 - 11| = 11 which is the 11th palindrome;

|11 - 33| = 22 which is the 12th palindrome; etc.

CROSSREFS

Cf. A002113 (palindromes in base 10).

Sequence in context: A084332 A081145 A100707 * A078943 A063733 A187089

Adjacent sequences:  A302660 A302661 A302662 * A302664 A302665 A302666

KEYWORD

nonn,base

AUTHOR

Eric Angelini and Jean-Marc Falcoz, Apr 11 2018

STATUS

approved

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Last modified April 22 13:48 EDT 2021. Contains 343177 sequences. (Running on oeis4.)