A082945 Numbers n which in decimal have the form imj, where m is the middle digit, with property that j is the reversal of i, and i = m*j.

111, 212, 313, 414, 515, 616, 717, 818, 919, 11111, 22122, 33133, 44144, 55155, 66166, 77177, 88188, 99199, 1011101, 1111111, 1211121, 1311131, 1411141, 1511151, 1611161, 1711171, 1811181, 1911191, 2021202, 2121212, 2221222, 2321232, 2421242

Offset

1,1

Comments

The number i should not end in 0, and m should not equal 0.

Suggested by Amarnath Murthy.

Either i and j are identical palindromes and m is 1, or i is in A031877, j is the corresponding term in A008919, and m is either 4 or 9. - Charlie Neder, Mar 08 2019

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Example

rev(8712) = 2178 and 8712 = 2178*4, so 871242178 is in this sequence. - Charlie Neder, Mar 08 2019

Crossrefs

Cf. A002113, A008919, A031877. (Possible values of i and j)

Sequence in context: A291797 A088287 A082946 * A316849 A316850 A210711

Adjacent sequences: A082942 A082943 A082944 * A082946 A082947 A082948

Keyword

nonn,base

Author

Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 07 2003

Extensions

Edited by N. J. A. Sloane, Oct 25 2009, following discussions on the Sequence Fans Mailing List, circa Apr 17 2009

Corrected and extended by Charlie Neder, Mar 08 2019

Status

approved