

A304366


Numbers n with additive persistence = 1.


5



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

1,1


LINKS

Table of n, a(n) for n=1..61.
Eric Weisstein's World of Mathematics, Additive Persistence.


FORMULA

A031286(a(n)) = 1.


EXAMPLE

Adding the digits of 10 gives 1, a singledigit number, so 10 is a member. Adding the digits of 39 gives 12, which is a 2digit number, so 39 is not a member.  Michael B. Porter, May 16 2018


MATHEMATICA

Select[Range@ 120, Length@ FixedPointList[Total@ IntegerDigits@ # &, #] == 3 &] (* Michael De Vlieger, May 14 2018 *)


PROG

(PARI) nb(n) = {my(nba = 0); while (n > 9, n = sumdigits(n); nba++); nba; }
isok(n) = nb(n) == 1; \\ Michel Marcus, May 13 2018


CROSSREFS

Cf. A031286.
Cf. Numbers with additive persistence k: A304367 (k=2), A304368 (k=3), A304373 (k=4).
Sequence in context: A244112 A088476 A248014 * A008715 A115844 A008714
Adjacent sequences: A304363 A304364 A304365 * A304367 A304368 A304369


KEYWORD

nonn,base


AUTHOR

Jaroslav Krizek, May 11 2018


STATUS

approved



