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 A014192 Palindromes in base 4 (written in base 10). 30
 0, 1, 2, 3, 5, 10, 15, 17, 21, 25, 29, 34, 38, 42, 46, 51, 55, 59, 63, 65, 85, 105, 125, 130, 150, 170, 190, 195, 215, 235, 255, 257, 273, 289, 305, 325, 341, 357, 373, 393, 409, 425, 441, 461, 477, 493, 509, 514, 530, 546, 562, 582, 598, 614, 630, 650, 666 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Rajasekaran, Shallit, & Smith prove that this sequence is an additive basis of order (exactly) 3. - Charles R Greathouse IV, May 03 2020 LINKS T. D. Noe, Table of n, a(n) for n = 1..10000 Patrick De Geest, Palindromic numbers beyond base 10. Phakhinkon Phunphayap and Prapanpong Pongsriiam, Estimates for the Reciprocal Sum of b-adic Palindromes, 2019. Aayush Rajasekaran, Jeffrey Shallit, Tim Smith, Sums of palindromes: an approach via automata, arXiv:1706.10206 [cs.FL], 2017. FORMULA Sum_{n>=2} 1/a(n) = 2.7857715... (Phunphayap and Pongsriiam, 2019). - Amiram Eldar, Oct 17 2020 MATHEMATICA f[n_, b_] := Module[{i=IntegerDigits[n, b]}, i==Reverse[i]]; lst={}; Do[If[f[n, 4], AppendTo[lst, n]], {n, 1000}]; lst (* Vladimir Joseph Stephan Orlovsky, Jul 08 2009 *) pal4Q[n_]:=Module[{c=IntegerDigits[n, 4]}, c==Reverse[c]]; Select[Range[ 0, 700], pal4Q] (* Harvey P. Dale, Jul 21 2020 *) PROG (MAGMA) [n: n in [0..800] | Intseq(n, 4) eq Reverse(Intseq(n, 4))]; // Vincenzo Librandi, Sep 09 2015 (PARI) ispal(n, b=4)=my(d=digits(n, b)); d==Vecrev(d) \\ Charles R Greathouse IV, May 03 2020 CROSSREFS Palindromes in bases 2 through 10: A006995, A014190, A014192, A029952, A029953, A029954, A029803, A029955, A002113. Sequence in context: A043707 A296694 A297253 * A250746 A048315 A093832 Adjacent sequences:  A014189 A014190 A014191 * A014193 A014194 A014195 KEYWORD nonn,base,easy,changed AUTHOR EXTENSIONS More terms from Patrick De Geest STATUS approved

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Last modified October 23 20:47 EDT 2020. Contains 337975 sequences. (Running on oeis4.)