A264406 Smallest palindrome of each distinct decimal type (A002113) in increasing order.

1, 11, 101, 111, 1001, 1111, 10001, 10101, 10201, 11011, 11111, 100001, 101101, 102201, 110011, 111111, 1000001, 1001001, 1002001, 1010101, 1011101, 1012101, 1020201, 1021201, 1022201, 1023201, 1100011, 1101011, 1102011, 1110111, 1111111, 10000001, 10011001, 10022001, 10100101, 10111101, 10122101, 10200201, 10211201, 10222201, 10233201, 11000011, 11011011, 11022011, 11100111, 11111111

Offset: 1

Author

Vladimir Shevelev, Dec 10 2015

Keywords

• nonn
• base

Comments

Only positive palindromes are considered.

The numbers N(n) of distinct types of n-digit palindromes, for n=1,2,..., are 1,1,2,2,5,5,15,15,... (A164904, n>=1). It is easy to see that N(2*n-1)=N(2*n), n>=1.

Examples

			The type corresponding to the term 1021201 has the form XYZXZYX, where X,Y,Z are distinct decimal digits, X>0.
		

Links

• Peter J. C. Moses, Table of n, a(n) for n = 1..6450

Crossrefs

Cf. A002113, A164904.

Extensions

Two missed terms were found by Peter J. C. Moses, Jan 07 2016