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 A057615 ATS: Add Then Sort (i.e., double previous term and then sort digits). 14
 1, 2, 4, 8, 16, 23, 46, 29, 58, 116, 223, 446, 289, 578, 1156, 1223, 2446, 2489, 4789, 5789, 11578, 12356, 12247, 24449, 48889, 77789, 155578, 111356, 122227, 244445, 48889, 77789, 155578, 111356, 122227, 244445, 48889, 77789, 155578, 111356 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Starting from a(1)=1 sequence cycles starting from a(25) = 48889, 77789, 155578, 111356, 122227, 244445, 48889, ... etc. LINKS FORMULA G.f.: x*(-219996*x^29 - 109980*x^28 - 99000*x^27 - 144000*x^26 - 72000*x^25 - 44100*x^24 - 21960*x^23 - 9801*x^22 - 11133*x^21 - 10422*x^20 - 5211*x^19 - 4500*x^18 - 2043*x^17 - 2223*x^16 - 1107*x^15 - 1098*x^14 - 549*x^13 - 243*x^12 - 423*x^11 - 207*x^10 - 108*x^9 - 54*x^8 - 27*x^7 - 45*x^6 - 23*x^5 - 16*x^4 - 8*x^3 - 4*x^2 - 2*x - 1)/(x^6 - 1). - Chai Wah Wu, Nov 20 2018 EXAMPLE a(8)=29 since a(7)=46, 46 + 46 = 92 and 92 sorted is 29. MATHEMATICA NestList[FromDigits[Sort[IntegerDigits[2#]]]&, 1, 40] (* Harvey P. Dale, Oct 03 2011 *) CROSSREFS Cf. A033861 for STA, A004000 for RATS. The following are parallel families: A000079 (2^n), A004094 (2^n reversed), A028909 (2^n sorted up), A028910 (2^n sorted down), A036447 (double and reverse), A057615 (double and sort up), A263451 (double and sort down); A000244 (3^n), A004167 (3^n reversed), A321540 (3^n sorted up), A321539 (3^n sorted down), A163632 (triple and reverse), A321542 (triple and sort up), A321541 (triple and sort down). Sequence in context: A018618 A294364 A108566 * A018416 A028909 A108567 Adjacent sequences:  A057612 A057613 A057614 * A057616 A057617 A057618 KEYWORD base,easy,nonn AUTHOR Henry Bottomley, Oct 09 2000 STATUS approved

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Last modified February 22 09:43 EST 2019. Contains 320390 sequences. (Running on oeis4.)