A287092 Strobogrammatic nonpalindromic numbers.

69, 96, 609, 619, 689, 906, 916, 986, 1691, 1961, 6009, 6119, 6699, 6889, 6969, 8698, 8968, 9006, 9116, 9696, 9886, 9966, 16091, 16191, 16891, 19061, 19161, 19861, 60009, 60109, 60809, 61019, 61119, 61819, 66099, 66199, 66899, 68089, 68189, 68889, 69069, 69169, 69869, 86098, 86198, 86898, 89068, 89168

Offset: 1

Author

Ilya Gutkovskiy, May 19 2017

Keywords

• nonn
• base

Comments

Nonpalindromic numbers which are invariant under a 180-degree rotation.

Numbers that are the same upside down and containing digits 6, 9.

Intersection of A000787 and A029742.

Union of this sequence and A006072 gives A000787.

Crossrefs

Cf. A000787, A007597, A018848, A029742, A006072, A153806, A169731.

Programs

Mathematica

fQ[n_] := Block[{s = {0, 1, 6, 8, 9}, id = IntegerDigits[n]}, If[ Union[ Join[s, id]] == s && (id /. {6 -> 9, 9 -> 6}) == Reverse[id], True, False]]; Select[ Range[0, 89168], fQ[ # ] && ! PalindromeQ[ # ] &]