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A304366
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Numbers with additive persistence = 1.
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6
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10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 30, 31, 32, 33, 34, 35, 36, 40, 41, 42, 43, 44, 45, 50, 51, 52, 53, 54, 60, 61, 62, 63, 70, 71, 72, 80, 81, 90, 100, 101, 102, 103, 104, 105, 106, 107, 108, 110, 111, 112, 113, 114, 115, 116
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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EXAMPLE
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Adding the digits of 10 gives 1, a single-digit number, so 10 is a member. Adding the digits of 39 gives 12, which is a 2-digit number, so 39 is not a member. - Michael B. Porter, May 16 2018
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MAPLE
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select(t -> convert(convert(t, base, 10), `+`) < 10, [$10 .. 200]); # Robert Israel, Dec 28 2023
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MATHEMATICA
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Select[Range@ 120, Length@ FixedPointList[Total@ IntegerDigits@ # &, #] == 3 &] (* Michael De Vlieger, May 14 2018 *)
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PROG
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(PARI) nb(n) = {my(nba = 0); while (n > 9, n = sumdigits(n); nba++); nba; }
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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