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A346821
Lexicographically earliest sequence of distinct terms > 0 such that the concatenation of three successive terms form a palindrome in base 10.
0
1, 10, 11, 101, 10111, 101101, 11101, 11101101, 1110111, 10110111, 1011011110111, 10110111101101, 1110111101101, 111011110110111101101, 11101111011011110111, 101101111011011110111, 1011011110110111101111011011110111, 10110111101101111011110110111101101, 1110111101101111011110110111101101
OFFSET
1,2
COMMENTS
This sequence shows only 0's and 1's. The lexicographically earliest sequence of distinct terms > 0 such that the concatenation of two successive terms form a palindrome in base 10 is A000042.
EXAMPLE
a(1) = 1, a(2) = 10, a(3) = 11 form the palindrome 11011 when concatenated;
a(2) = 10, a(3) = 11, a(4) = 101 form the palindrome 1011101 when concatenated;
a(3) = 11, a(4) = 101, a(5) = 10111 form the palindrome 1110110111 when concatenated;
a(4) = 101, a(5) = 10111, a(6) = 101101 form the palindrome 10110111101101 when concatenated; etc.
CROSSREFS
Cf. A000042.
Sequence in context: A004685 A361335 A171000 * A222365 A041216 A094026
KEYWORD
base,nonn
AUTHOR
Eric Angelini and Carole Dubois, Aug 30 2021
STATUS
approved