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 A285741 a(0) = 1; a(2*n) = a(n), a(2*n+1) = a(n) + R(a(n)), where R() is the digit reversal. 0
 1, 2, 2, 4, 2, 4, 4, 8, 2, 4, 4, 8, 4, 8, 8, 16, 2, 4, 4, 8, 4, 8, 8, 16, 4, 8, 8, 16, 8, 16, 16, 77, 2, 4, 4, 8, 4, 8, 8, 16, 4, 8, 8, 16, 8, 16, 16, 77, 4, 8, 8, 16, 8, 16, 16, 77, 8, 16, 16, 77, 16, 77, 77, 154, 2, 4, 4, 8, 4, 8, 8, 16, 4, 8, 8, 16, 8, 16, 16, 77, 4, 8, 8, 16, 8, 16, 16, 77, 8, 16, 16 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Michael Gilleland, Some Self-Similar Integer Sequences EXAMPLE a(0) = 1; a(1) = a(2*0+1) = a(0) + R(a(0)) = 1 + 1 = 2; a(2) = a(2*1) = a(1) = 2; a(3) = a(2*1+1) = a(1) + R(a(1)) = 2 + 2 = 4; a(4) = a(2*2) = a(2) = 2; a(5) = a(2*2+1) = a(2) + R(a(2)) = 2 + 2 = 4, etc. MATHEMATICA a[0] = 0; a[n_] := If[EvenQ[n], a[n/2], a[(n - 1)/2] + FromDigits[Reverse[IntegerDigits[a[(n - 1)/2]]]] ]; Table[a[n], {n, 0, 90}] CROSSREFS Cf. A001127 (records), A004086, A056964. Sequence in context: A054536 A293664 A001316 * A161831 A096865 A116466 Adjacent sequences:  A285738 A285739 A285740 * A285742 A285743 A285744 KEYWORD nonn,base AUTHOR Ilya Gutkovskiy, Apr 25 2017 STATUS approved

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Last modified September 20 03:32 EDT 2019. Contains 327209 sequences. (Running on oeis4.)