

A334389


Lexicographically earliest sequence of distinct positive integers such that the sum of [a(n) reversed] and [a(n+1) reversed] is a palindrome in base 10 (terms ending in zero permitted)


1



1, 2, 3, 4, 5, 6, 10, 7, 18, 70, 20, 9, 29, 90, 31, 13, 42, 24, 53, 35, 64, 55, 11, 22, 33, 44, 75, 45, 21, 12, 32, 23, 43, 34, 54, 65, 56, 63, 8, 19, 80, 30, 14, 41, 25, 52, 36, 83, 16, 50, 27, 61, 38, 81, 39, 60, 17, 71, 28, 91, 74, 46, 73, 15, 40, 26, 51, 37, 62, 57, 66, 58, 67
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OFFSET

1,2


COMMENTS

Terms ending in zero are permitted; when they are reversed, the leading zero(s) is (are) erased.


LINKS

Carole Dubois, Table of n, a(n) for n = 1..5001


EXAMPLE

a(6) = 6 and a(7) = 10; the addition 6 + (0)1 is a palindrome (7).
a(7) = 10 and a(8) = 7; the addition (0)1 + 7 is a palindrome (8).
a(8) = 7 and a(9) = 18; the addition 7 + 81 is a palindrome (88).
a(9) = 18 and a(10) = 70; the addition 81 + (0)7 is a palindrome (88).
a(10) = 70 and a(11) = 20; the addition (0)7 + (0)2 is a palindrome (9). Etc.


CROSSREFS

Cf. A228730 (the sum of two consecutive terms is a palindrome in base 10).
Sequence in context: A236689 A308719 A026266 * A075163 A333905 A143693
Adjacent sequences: A334386 A334387 A334388 * A334390 A334391 A334392


KEYWORD

nonn,base,look


AUTHOR

Eric Angelini and Carole Dubois, Sep 28 2020


STATUS

approved



