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A332240 Palindromes that are the sum of a number and the sum of its digits. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

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

EXAMPLE

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

MATHEMATICA

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

PROG

(MAGMA) pal:=func<n|Seqint(Intseq(n)) eq Seqint(Reverse(Intseq(n)))>; [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

CROSSREFS

Intersection of A002113 and A176995.

Cf. A062028, A229545.

Sequence in context: A164144 A071241 A247123 * A068062 A088169 A061563

Adjacent sequences:  A332237 A332238 A332239 * A332241 A332242 A332243

KEYWORD

nonn,base

AUTHOR

Eric Fox, Feb 07 2020

EXTENSIONS

More terms from Giovanni Resta, Feb 07 2020

STATUS

approved

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Last modified July 11 01:51 EDT 2020. Contains 335600 sequences. (Running on oeis4.)