A099145 Numbers in base 10 that are palindromic in bases 7 and 8.

0, 1, 2, 3, 4, 5, 6, 121, 178, 235, 292, 300, 2997, 6953, 7801, 10658, 13459, 16708, 428585, 431721, 444713, 447849, 450985, 502457, 626778, 786435, 10453500, 27924649

Offset

1,3

Comments

Intersection of A029954 and A029803. - Michel Marcus, Oct 09 2014

Links

Giovanni Resta, Table of n, a(n) for n = 1..48 (first 37 terms from Robert G. Wilson v)

Example

178 is in the sequence because 178_10 = 343_7 = 262_8.

Mathematica

palQ[n_Integer, base_Integer] := Block[{idn = IntegerDigits[n, base]}, idn == Reverse[ idn]]; Select[ Range[ 150000000], palQ[ #, 7] && palQ[ #, 8] &]

Crossrefs

Cf. A048268, A060792, A097928, A097929, A097930, A097931, A099146, A029965, A029966, A099147, A099153.

Sequence in context: A171596 A318909 A100793 * A004868 A073788 A326315

Adjacent sequences: A099142 A099143 A099144 * A099146 A099147 A099148

Keyword

base,nonn

Author

Robert G. Wilson v, Sep 30 2004

Status

approved