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 A029804 Numbers that are palindromic in bases 8 and 10. 38
 0, 1, 2, 3, 4, 5, 6, 7, 9, 121, 292, 333, 373, 414, 585, 3663, 8778, 13131, 13331, 26462, 26662, 30103, 30303, 207702, 628826, 660066, 1496941, 1935391, 1970791, 4198914, 55366355, 130535031, 532898235, 719848917, 799535997, 1820330281 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Intersection of A002113 and A029803. - Michel Marcus, Nov 20 2014 LINKS Robert G. Wilson v, Table of n, a(n) for n = 1..75 Patrick De Geest, Palindromic numbers beyond base 10 Rick Regan, Code to generate this sequence MATHEMATICA b1=8; b2=10; lst={}; Do[d1=IntegerDigits[n, b1]; d2=IntegerDigits[n, b2]; If[d1==Reverse[d1]&&d2==Reverse[d2], AppendTo[lst, n]], {n, 0, 100000}]; lst (* Vincenzo Librandi, Nov 13 2014 *) Select[Range[0, 1820331000], PalindromeQ[#]&&IntegerDigits[#, 8] == Reverse[ IntegerDigits[#, 8]]&] (* Harvey P. Dale, Mar 18 2019 *) PROG (PARI) isok(n) = (n==0) || ((d10=digits(n, 10)) && (d10==Vecrev(d10)) && (d8=digits(n, 8)) && (d8==Vecrev(d8))); \\ Michel Marcus, Nov 13 2014 (PARI) ispal(n, r) = my(d=digits(n, r)); d==Vecrev(d); for(n=0, 10^7, if(ispal(n, 10)&&ispal(n, 8), print1(n, ", "))); \\ Joerg Arndt, Nov 22 2014 (MAGMA) [n: n in [0..10000000] | Intseq(n, 10) eq Reverse(Intseq(n, 10))and Intseq(n, 8) eq Reverse(Intseq(n, 8))]; // Vincenzo Librandi, Nov 23 2014 (Python) def palQ8(n): # check if n is a palindrome in base 8     s = oct(n)[2:]     return s == s[::-1] def palQgen10(l): # unordered generator of palindromes of length <= 2*l     if l > 0:         yield 0         for x in range(1, 10**l):             s = str(x)             yield int(s+s[-2::-1])             yield int(s+s[::-1]) A029804_list = sorted([n for n in palQgen10(6) if palQ8(n)]) # Chai Wah Wu, Nov 25 2014 CROSSREFS Cf. A007632, A007633, A029961, A029962, A029963, A029964, A029965, A029966, A029967, A029968, A029969, A029970, A029731, A097855, A099165. Sequence in context: A048333 A007496 A082274 * A084690 A194963 A072794 Adjacent sequences:  A029801 A029802 A029803 * A029805 A029806 A029807 KEYWORD nonn,base AUTHOR EXTENSIONS More terms from Robert G. Wilson v, Sep 30 2004 Incorrect Mathematica program deleted by N. J. A. Sloane, Sep 01 2009 Terms 33 through 36 corrected by Rick Regan (exploringbinary(AT)gmail.com), Sep 01 2009 STATUS approved

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Last modified October 20 18:49 EDT 2020. Contains 337905 sequences. (Running on oeis4.)