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A034709 Numbers divisible by their last digit. 31
1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 21, 22, 24, 25, 31, 32, 33, 35, 36, 41, 42, 44, 45, 48, 51, 52, 55, 61, 62, 63, 64, 65, 66, 71, 72, 75, 77, 81, 82, 84, 85, 88, 91, 92, 93, 95, 96, 99, 101, 102, 104, 105, 111, 112, 115, 121, 122, 123, 124, 125, 126, 128, 131, 132 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Union of A017281, A017293, A139222, A139245, A017329, A139249, A139264, A139279 and A139280. - Reinhard Zumkeller, Jun 22 2008

The differences between consecutive terms repeat with period 1177 and the corresponding terms differ by 2520 = LCM(1,2,...,9). In other words, a(k*1177+i) = 2520*k + a(i). - Giovanni Resta, Aug 20 2015

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

MAPLE

N:= 1000: # to get all terms <= N

sort([seq(seq(ilcm(10, d)*x+d, x=0..floor((N-d)/ilcm(10, d))), d=1..9)]); # Robert Israel, Aug 20 2015

MATHEMATICA

dldQ[n_]:=Module[{idn=IntegerDigits[n], last1}, last1=Last[idn]; last1!= 0&&Divisible[n, last1]]; Select[Range[150], dldQ]  (* Harvey P. Dale, Apr 25 2011 *)

PROG

(Haskell)

import Data.Char (digitToInt)

a034709 n = a034709_list !! (n-1)

a034709_list =

   filter (\i -> i `mod` 10 > 0 && i `mod` (i `mod` 10) == 0) [1..]

-- Reinhard Zumkeller, Jun 19 2011

(Python)

A034709_list = [n for n in range(1, 1000) if n % 10 and not n % (n % 10)]

# Chai Wah Wu, Sep 18 2014

(PARI) for(n=1, 200, if(n%10, if(!(n%digits(n)[#Str(n)]), print1(n, ", ")))) # Derek Orr, Sep 19 2014

CROSSREFS

Cf. A002706, A034838, A007602,

Sequence in context: A071249 A084433 A084434 * A178158 A034838 A063527

Adjacent sequences:  A034706 A034707 A034708 * A034710 A034711 A034712

KEYWORD

nonn,base,easy,nice

AUTHOR

Erich Friedman

STATUS

approved

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Last modified August 23 14:37 EDT 2019. Contains 326249 sequences. (Running on oeis4.)