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A253205 Natural numbers n such that n-1 is divisible by the sum of the decimal digits of n. 1
1, 10, 11, 13, 17, 41, 43, 56, 91, 97, 100, 101, 106, 121, 131, 155, 157, 161, 181, 188, 221, 232, 233, 239, 254, 271, 274, 301, 305, 311, 353, 361, 365, 385, 391, 401, 421, 451, 452, 491, 494, 508, 521, 529, 541, 551, 599, 610, 617, 625, 631, 647, 650, 673 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Numbers of the form 1000...000 and 1000...0001 also belong to A144980.

LINKS

Paolo P. Lava, Table of n, a(n) for n = 1..10000

EXAMPLE

1-1 = 0 is divisible by 1, hence 1 is in the sequence; 56-1 = 55 is divisible by 5+6 = 11, hence 56 is in the sequence.

MAPLE

with(numtheory): P:=proc(q)local a, b, k, n;

for n from 1 to q do a:=n; b:=0;

for k from 1 to ilog10(n)+1 do b:=b+(a mod 10); a:=trunc(a/10); od;

if type((n-1)/b, integer) then print(n); fi; od; end: P(10^5);

MATHEMATICA

Select[Range[10^3], Mod[#-1, Total[IntegerDigits[#]]]==0&] (* Ivan N. Ianakiev, Mar 25 2015 *)

PROG

(PARI) lista(nn) = for (n=1, nn, if ((n-1) % sumdigits(n) == 0, print1(n, ", "))); \\ Michel Marcus, Mar 25 2015

CROSSREFS

Cf. A005349, A144967, A144980.

Sequence in context: A216836 A188165 A125588 * A095038 A085186 A298365

Adjacent sequences:  A253202 A253203 A253204 * A253206 A253207 A253208

KEYWORD

nonn,base,easy

AUTHOR

Paolo P. Lava, Mar 25 2015

EXTENSIONS

Missing a(5270) in b-file inserted by Andrew Howroyd, Feb 23 2018

STATUS

approved

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Last modified August 10 02:28 EDT 2020. Contains 336367 sequences. (Running on oeis4.)