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 A070837 Smallest number k such that abs(k - R(k)) = 9n, where R(k) is digit reversal of k (A004086); or 0 if no such k exists. 3
 10, 13, 14, 15, 16, 17, 18, 19, 90, 1011, 100, 0, 0, 0, 0, 0, 0, 0, 0, 1021, 1090, 103, 0, 0, 0, 0, 0, 0, 0, 1031, 1080, 0, 104, 0, 0, 0, 0, 0, 0, 1041, 1070, 0, 0, 105, 0, 0, 0, 0, 0, 1051, 1060, 0, 0, 0, 106, 0, 0, 0, 0, 1061, 1050, 0, 0, 0, 0, 107, 0, 0, 0, 1071, 1040, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS If 9n < 1000, k has at most 5 digits, and abs(k - R(k)) = 9n, then 10 must divide n. - Sascha Kurz, Jan 02 2003 LINKS MATHEMATICA a = Table[0, {50}]; Do[d = Abs[n - FromDigits[ Reverse[ IntegerDigits[n]]]] / 9; If[d < 51 && a[[d]] == 0, a[[d]] = n], {n, 1, 10^7}]; a PROG (Python) def back_difference(n):     r = int(str(n)[::-1])     return abs(r-n) def a070837(n):     i = 0     while True:         if back_difference(i)==9*n:             return i         i+=1 # Christian Perfect, Jul 23 2015 CROSSREFS Cf. A004086, A056965, A070838. Sequence in context: A241144 A102362 A327270 * A188643 A087140 A226778 Adjacent sequences:  A070834 A070835 A070836 * A070838 A070839 A070840 KEYWORD base,nonn AUTHOR Amarnath Murthy, May 12 2002 EXTENSIONS More terms from Sascha Kurz, Jan 02 2003 a(21) corrected by Christian Perfect, Jul 23 2015 STATUS approved

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Last modified June 14 05:51 EDT 2021. Contains 345018 sequences. (Running on oeis4.)