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A144980 Natural numbers k such that k+1 is divisible by the sum of the decimal digits of k. 4
1, 10, 11, 14, 19, 31, 34, 65, 71, 79, 100, 101, 103, 104, 109, 143, 160, 164, 167, 211, 215, 223, 263, 293, 299, 337, 362, 367, 379, 412, 419, 431, 454, 458, 461, 479, 503, 545, 560, 571, 601, 655, 659, 671, 689, 764, 769, 799, 805, 839, 892, 896, 917, 922 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The complement of this sequences is A178338.

The sequence is infinite since if m = 10^j then (m+1) / digitsum(m) = m. - Marius A. Burtea, Dec 21 2018

LINKS

Nathaniel Johnston, Table of n, a(n) for n = 1..10000

EXAMPLE

1+1 = 2 is divisible by 1, hence 1 is in the sequence; 65+1 = 66 is divisible by 6+5 = 11, hence 65 is in the sequence.

MAPLE

A007953 := proc(n) local d; add(d, d=convert(n, base, 10)) ; end: isA144980 := proc(n) RETURN( (n+1) mod A007953(n) = 0 ) ; end: for n from 1 to 1800 do if isA144980(n) then printf("%d, ", n) ; fi; od: # R. J. Mathar, Sep 30 2008

MATHEMATICA

Select[Range[2000], Mod[#+1, Total[IntegerDigits[#]]]==0&] (* Harvey P. Dale, Nov 13 2010 *)

PROG

(MAGMA) [n: n in [1..2000]|IsIntegral((n+1)/&+Intseq(n))]; // Marius A. Burtea, Dec 18 2018

CROSSREFS

Cf. A144967.

Cf. A005349. - R. J. Mathar, Sep 30 2008

Sequence in context: A298365 A214864 A062844 * A261713 A244283 A043583

Adjacent sequences:  A144977 A144978 A144979 * A144981 A144982 A144983

KEYWORD

nonn,base,easy

AUTHOR

Giovanni Teofilatto, Sep 28 2008

EXTENSIONS

a(1) inserted, extended beyond a(7). Example added, cross-reference added. Keyword base added, keyword more deleted, offset changed from 1,1 to 1,2. - Klaus Brockhaus, Sep 30 2008

Extended by R. J. Mathar, Sep 30 2008

STATUS

approved

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Last modified June 19 06:47 EDT 2019. Contains 324218 sequences. (Running on oeis4.)