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 A163522 a(1)=2; for n>1, a(n) = sum of digits of a(n-1)^2. 2
 2, 4, 7, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16, 13, 16 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Antti Karttunen, Table of n, a(n) for n = 1..1001 Index entries for linear recurrences with constant coefficients, signature (0,1). FORMULA G.f.: x*(2 + 4*x + 5*x^2 + 9*x^3 + 9*x^4)/((1 - x)*(1 + x)). - Bruno Berselli, May 29 2014 EXAMPLE a(2)=4 because 2^2=4; a(3)=7 because 4^2=16 and 6+1=7; a(4)=13 because 7^2=49 and 4+9=13. Other similar sequences, starting from 3, 5, 7 respectively: . 3, 9 (9 repeated); . 5, 7, 13, 16, 13 (13, 16 repeated); . 8, 10, 1 (1 repeated). MATHEMATICA Join[{2, 4, 7}, LinearRecurrence[{0, 1}, {13, 16}, 50]] (* or *) CoefficientList[Series[x*(2 + 4*x + 5*x^2 + 9*x^3 + 9*x^4)/((1 - x)*(1 + x)), {x, 0, 50}], x] (* G. C. Greubel, Jul 27 2017 *) PadRight[{2, 4, 7}, 120, {16, 13}] (* Harvey P. Dale, Aug 29 2021 *) PROG (PARI) x='x+O('x^50); Vec(x*(2 + 4*x + 5*x^2 + 9*x^3 + 9*x^4)/((1 - x)*(1 + x))) \\ G. C. Greubel, Jul 27 2017 (Scheme) (define (A163522 n) (cond ((<= n 2) (expt 2 n)) ((= 3 n) 7) ((even? n) 13) (else 16))) ;; Antti Karttunen, Sep 14 2017 CROSSREFS Cf. A007953. Sequence in context: A177101 A018414 A002152 * A255173 A002466 A162842 Adjacent sequences: A163519 A163520 A163521 * A163523 A163524 A163525 KEYWORD nonn,base,easy AUTHOR Vincenzo Librandi, Jul 30 2009 EXTENSIONS Edited by N. J. A. Sloane, Aug 01 2009 Edited by Bruno Berselli, May 29 2014 STATUS approved

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Last modified April 14 11:07 EDT 2024. Contains 371657 sequences. (Running on oeis4.)