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 A137417 Limiting sequence when we start with positive integers (A000027) and at step n >= 1 add to the term at position n + a(n) the value a(n). 11
 1, 3, 3, 4, 8, 9, 7, 12, 9, 10, 11, 12, 21, 21, 24, 16, 17, 27, 19, 42, 21, 33, 23, 36, 25, 26, 27, 28, 29, 30, 31, 48, 33, 72, 56, 36, 37, 57, 63, 40, 41, 63, 43, 44, 72, 69, 47, 48, 49, 75, 51, 78, 53, 81, 88, 84, 57, 87, 59, 126, 61, 135, 63, 64, 65, 99, 67, 68, 69, 70, 71 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS At the vast majority of positions the term is changed at most once, but at some positions a change occurs twice. An example is position 20. In step 4 the term at position 4 + a(4) = 8 is changed to 8 + a(4) = 12; in step 8 the term at position 8 + a(8) = 20 is changed to 20 + a(8) = 32; in step 10 the term at position 10 + a(10) = 20 is changed to a(20) + a(10) = 32 + 10 = 42. The first position where the term is changed three times is 3498. [Klaus Brockhaus, Apr 23 2008] The first position where the term is changed four times is 1024914. [Rémy Sigrist, Mar 11 2017] LINKS Rémy Sigrist, Table of n, a(n) for n = 1..10000 Rémy Sigrist, Scatterplot of first 2000000 terms MATHEMATICA Block[{a, nn = 71}, a = Range[Max[3, IntegerLength[nn]] nn]; Do[a[[n + a[[n]]]] = a[[n + a[[n]]]] + a[[n]], {n, nn}]; a[[1 ;; nn]] ] (* Michael De Vlieger, Jul 28 2021 *) CROSSREFS Cf. A000027. Sequence in context: A340429 A147679 A339054 * A137418 A357306 A285445 Adjacent sequences: A137414 A137415 A137416 * A137418 A137419 A137420 KEYWORD easy,nonn,changed AUTHOR Ctibor O. Zizka, Apr 16 2008 EXTENSIONS Extended by Klaus Brockhaus, Apr 23 2008 STATUS approved

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Last modified February 29 10:20 EST 2024. Contains 370418 sequences. (Running on oeis4.)