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 A036839 RATS(n): Reverse Add Then Sort the digits. 24
 0, 2, 4, 6, 8, 1, 12, 14, 16, 18, 11, 22, 33, 44, 55, 66, 77, 88, 99, 11, 22, 33, 44, 55, 66, 77, 88, 99, 11, 112, 33, 44, 55, 66, 77, 88, 99, 11, 112, 123, 44, 55, 66, 77, 88, 99, 11, 112, 123, 134, 55, 66, 77, 88, 99, 11, 112, 123, 134, 145, 66, 77 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(n) = RATS(n), not RATS(a(n-1)). Row 10 of A288535. - Andrey Zabolotskiy, Jun 14 2017 LINKS Indranil Ghosh, Table of n, a(n) for n = 0..50000 (terms 0..1000 from T. D. Noe) R. K. Guy, Conway's RATS and other reversals, Unsolved Problems Column, American Math. Monthly, Vol. 96, pp. 425-428, May 1989. Eric Weisstein's World of Mathematics, RATS Sequence FORMULA Form m by Reversing the digits of n, Add m to n Then Sort the digits of the sum into increasing order to get a(n). a(n) = A004185(A056964(n)). [Reinhard Zumkeller, Mar 14 2012] EXAMPLE 1 -> 1 + 1 = 2, so a(1) = 2; 3 -> 3 + 3 = 6, so a(3) = 6. MAPLE read transforms; RATS := n -> digsort(n + digrev(n)); MATHEMATICA FromDigits[Sort[IntegerDigits[#+FromDigits[Reverse [IntegerDigits[#]]]]]] & /@Range[0, 80] (* Harvey P. Dale, Mar 26 2011 *) PROG (Haskell) a036839 = a004185 . a056964 -- Reinhard Zumkeller, Mar 14 2012 (Python) def A036839(n): x = str(n+int(str(n)[::-1])) return int("".join(sorted(x))) # Indranil Ghosh, Jan 28 2017 CROSSREFS Cf. A004000, A004185, A288535. Cf. A161593, A114611, A009994, A004086. Sequence in context: A007396 A169910 A004519 * A004093 A106202 A351330 Adjacent sequences: A036836 A036837 A036838 * A036840 A036841 A036842 KEYWORD nonn,base,nice,easy,look AUTHOR N. J. A. Sloane, Jan 19 2002 STATUS approved

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Last modified December 7 04:29 EST 2022. Contains 358649 sequences. (Running on oeis4.)