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A317110 Numbers k such that the smallest digit of k is equal to the additive digital root of k (in base 10). 0
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 19, 29, 39, 49, 59, 69, 79, 89, 91, 92, 93, 94, 95, 96, 97, 98, 99, 118, 127, 136, 145, 154, 163, 172, 181, 199, 217, 227, 236, 245, 254, 263, 271, 272, 299, 316, 326, 336, 345, 354, 361, 362, 363, 399, 415, 425, 435, 445, 451 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Numbers k such that A054054(k) = A010888(k).

LINKS

Table of n, a(n) for n=1..59.

Eric Weisstein's World of Mathematics, Digital Root

MATHEMATICA

Select[Range@ 451, Min@ IntegerDigits@ # == FixedPoint[Total@ IntegerDigits@ # &, #] &] (* Michael De Vlieger, Jul 22 2018 *)

PROG

(MAGMA) [n : n in [1..10000] | (1+(n-1) mod 9) eq &+[Min(Intseq(n))]]

(PARI) isok(n) = (n==0) || (vecmin(digits(n)) == (n-1)%9+1); \\ Michel Marcus, Jul 23 2018

CROSSREFS

Cf. A010888, A054054, A107085 (with "largest" digit instead of "smallest").

Sequence in context: A075517 A248013 A088473 * A340254 A190876 A051885

Adjacent sequences:  A317107 A317108 A317109 * A317111 A317112 A317113

KEYWORD

nonn,base

AUTHOR

Jaroslav Krizek, Jul 21 2018

STATUS

approved

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Last modified October 25 07:16 EDT 2021. Contains 348239 sequences. (Running on oeis4.)