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 A089756 a(1)=1 and a(i+1)=a(i)+9 if a(i)<=35, and a(i+1)=a(i)-35 if a(i)>35. 2
 1, 10, 19, 28, 37, 2, 11, 20, 29, 38, 3, 12, 21, 30, 39, 4, 13, 22, 31, 40, 5, 14, 23, 32, 41, 6, 15, 24, 33, 42, 7, 16, 25, 34, 43, 8, 17, 26, 35, 44, 9, 18, 27, 36, 1, 10, 19, 28, 37, 2, 11, 20, 29, 38, 3, 12, 21, 30, 39, 4, 13, 22, 31, 40, 5, 14, 23, 32, 41, 6, 15, 24, 33, 42, 7, 16, 25, 34, 43, 8, 17 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Infinite cyclic sequence with a(44*j+k)=a(k) and 0 < k < 45 with all and only one time the 44th first integers > 0. Periodic with period = 44. - Harvey P. Dale, Nov 04 2019 LINKS Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1). MAPLE A089756 := proc(n)     option remember;     if n = 1 then         1;     else         if procname(n-1) > 35 then             procname(n-1)-35 ;         else             procname(n-1)+9 ;         end if;     end if; end proc: seq(A089756(n), n=1..100) ; # R. J. Mathar, Feb 28 2019 MATHEMATICA NestList[If[#<36, #+9, #-35]&, 1, 80] (* Harvey P. Dale, Nov 04 2019 *) CROSSREFS Sequence in context: A044053 A044434 A098750 * A097153 A017173 A326833 Adjacent sequences:  A089753 A089754 A089755 * A089757 A089758 A089759 KEYWORD nonn,easy,less AUTHOR Pierre CAMI, Jan 08 2004 STATUS approved

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Last modified July 29 04:42 EDT 2021. Contains 346340 sequences. (Running on oeis4.)