A332240 Palindromes that are the sum of a number and the sum of its digits.

0, 2, 4, 6, 8, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 131, 141, 151, 161, 171, 181, 191, 202, 212, 232, 242, 252, 262, 272, 282, 292, 303, 313, 333, 343, 353, 363, 373, 383, 393, 404, 414, 434, 444, 454, 464, 474, 484, 494, 505, 515, 535, 545, 555, 565, 575

Offset: 1

Author

Eric Fox, Feb 07 2020

Keywords

• nonn
• base

Examples

			196 + 1 + 9 + 6 = 212, so 212 is in this sequence.
		

Links

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

Crossrefs

Intersection of A002113 and A176995.

Cf. A062028, A229545.

Programs

Magma

pal:=func; [k:k in [0..600]| pal(k) and exists(m){s:s in [0..k]| s+&+Intseq(s) eq k}]; // Marius A. Burtea, Feb 08 2020

Mathematica

palQ[n_] := Block[{d = IntegerDigits[n]}, Reverse[d] == d]; Select[ Union[(# + Plus @@ IntegerDigits@#) & /@ Range[0, 600]], # <= 600 && palQ[#] &] (* Giovanni Resta, Feb 07 2020 *)

Formula

a(n) in { A062028(A229545(i)) : i >= 1 }. - Amiram Eldar, Feb 12 2020

Extensions

More terms from Giovanni Resta, Feb 07 2020