A045643 Palindromic and divisible by 8.

0, 8, 88, 232, 272, 424, 464, 616, 656, 696, 808, 848, 888, 2112, 2552, 2992, 4224, 4664, 6336, 6776, 8008, 8448, 8888, 21112, 21312, 21512, 21712, 21912, 23032, 23232, 23432, 23632, 23832, 25152, 25352, 25552, 25752, 25952, 27072, 27272, 27472

Offset: 1

Author

Jeff Burch

Keywords

• nonn
• base

Links

• Paolo Xausa, Table of n, a(n) for n = 1..2000

Crossrefs

Intersection of A002113 and A008590.

Cf. A029951, A045638, A045639, A043040, A043041, A045642, A045644, A083852.

Programs

Mathematica

palQ[n_]:=Module[{idn=IntegerDigits[n]},idn==Reverse[idn]];Select[ 8Range[0,3500],palQ] (* Harvey P. Dale, Jun 06 2011 *)
Select[8*Range[0, 3500],PalindromeQ] (* Harvey P. Dale, Feb 17 2023 *)

Extensions

Edited to include a(1) = 0 by Paolo Xausa, Jul 07 2025