A231933 Terms of A231932 written in base 10: the binary expansions of a(n) and a(n+1) taken together can be rearranged to form a palindrome.

0, 10, 1, 9, 81, 11, 2, 18, 82, 20, 3, 12, 28, 84, 27, 90, 30, 4, 13, 37, 85, 36, 94, 22, 38, 92, 19, 83, 99, 163, 171, 729, 86, 14, 5, 23, 47, 95, 32, 48, 93, 21, 29, 100, 24, 6, 15, 55, 87, 54, 96, 33, 57, 109, 31, 39, 112, 120, 256, 280, 336, 352, 732, 91, 16, 7, 25

Offset: 0

Author

N. J. A. Sloane and Robert G. Wilson v, Nov 15 2013

Keywords

• nonn
• base
• easy

Comments

See A231931 for precise definition.

This is a permutation of the nonnegative integers - see the Comments in A228407 for the proof.

Crossrefs

Cf. A230892, A231921, A231923, A231925, A231927, A231929, A231931, A228407, A231932.

Programs

Mathematica

a[0] = 0; a[n_] := a[n] = Block[{k = 1, idm = IntegerDigits[ a[n - 1], 9], t = a@# & /@ Range[n - 1]}, Label[ start]; While[ MemberQ[t, k], k++];  While[ Select[ Permutations[ Join[ idm, IntegerDigits[k, 9]]], #[[1]] != 0 && # == Reverse@# &] == {}, k++; Goto[ start]]; k]; s = Array[a, 60, 0]