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 A369603 S is a "boomerang sequence": adding 9 to each digit of S and following the result with a comma leaves S unchanged. 4
 10, 9, 18, 10, 17, 10, 9, 10, 16, 10, 9, 18, 10, 9, 10, 15, 10, 9, 18, 10, 17, 10, 9, 18, 10, 9, 10, 14, 10, 9, 18, 10, 17, 10, 9, 10, 16, 10, 9, 18, 10, 17, 10, 9, 18, 10, 9, 10, 13, 10, 9, 18, 10, 17, 10, 9, 10, 16, 10, 9, 18, 10, 9, 10, 15, 10, 9, 18, 10, 17, 10, 9, 10, 16, 10, 9, 18, 10, 17, 10, 9, 18, 10, 9 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Lexicographically earliest sequence starting with a(1) = 10. The only integers that appear in the sequence are 9, 10, 11, 12, 13, 14, 15, 16, 17 and 18. Is this (apart from the first term) the same as A103700? - R. J. Mathar, Feb 12 2024 LINKS Table of n, a(n) for n=1..84. Éric Angelini and Giorgos Kalogeropoulos, The same sequence but differently, personal blog, Jan 24th 2024. EXAMPLE Adding 9 to 1 (the 1st digit of 10) gives 10 Adding 9 to 0 (the 2nd digit of 10) gives 9 Adding 9 to 9 (the only digit of 9) gives 18 Adding 9 to 1 (the 1st digit of 18) gives 10 Adding 9 to 8 (the 2nd digit of 18) gives 17, etc. We see that the last column above is the sequence S itself. MATHEMATICA a[1]=10; a[n_]:=a[n]=Flatten[IntegerDigits/@Array[a, n-1]][[n]]+9; Array[a, 100] PROG (Python) from itertools import islice def agen(): # generator of terms an, digits = 10, [0] while True: yield an an = 9 + digits.pop(0) digits += list(map(int, str(an))) print(list(islice(agen(), 84))) # Michael S. Branicky, Jan 27 2024 CROSSREFS Cf. A103700, A369604, A369798, A369823, A369824. Sequence in context: A063596 A360382 A284518 * A309660 A341821 A184959 Adjacent sequences: A369600 A369601 A369602 * A369604 A369605 A369606 KEYWORD base,nonn AUTHOR Eric Angelini and Giorgos Kalogeropoulos, Jan 27 2024 STATUS approved

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Last modified February 27 08:19 EST 2024. Contains 370367 sequences. (Running on oeis4.)