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A096234 Base 10 "digit addition generators": a(n) = smallest m such that m + (sum of digits of m) = n, or 0 if no such m exists. 1
0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 10, 6, 11, 7, 12, 8, 13, 9, 14, 0, 15, 20, 16, 21, 17, 22, 18, 23, 19, 24, 0, 25, 30, 26, 31, 27, 32, 28, 33, 29, 34, 0, 35, 40, 36, 41, 37, 42, 38, 43, 39, 44, 0, 45, 50, 46, 51, 47, 52, 48, 53, 49, 54, 0, 55, 60, 56, 61, 57, 62 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

The zeros in this sequence correspond to A003052, the self numbers. This sequence has several terms in common with A025804, expansion of 1/((1-x^2)(1-x^4)(1-x^9)). a(25) to a(34) of that sequence are equal to a(10) to a(19) of this one.

There are 102 zeros in the first 1000 terms and 983 zeros in the first 10000 terms. - Harvey P. Dale, Feb 22 2016

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Digit Addition Generator.

EXAMPLE

a(29) = 19 because 19 + (1 + 9) = 29

a(30) = 24 because 24 + (2 + 4) = 30

a(31) = 0 because there is no integer that added to its digits results in 31

MATHEMATICA

msodm[n_]:=Module[{m=n-9*IntegerLength[n]}, While[m+Total[ IntegerDigits[ m]] != n&&m<n, m++]; If[m+Total[IntegerDigits[m]]==n, m, 0]]; Array[ msodm, 80] (* Harvey P. Dale, Feb 22 2016 *)

CROSSREFS

Cf. A003052.

Sequence in context: A008809 A008821 A194749 * A284969 A097852 A008801

Adjacent sequences:  A096231 A096232 A096233 * A096235 A096236 A096237

KEYWORD

base,nonn

AUTHOR

Alonso del Arte, Aug 09 2004

EXTENSIONS

Typo in Name (definition) corrected by Harvey P. Dale, Feb 22 2016

STATUS

approved

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Last modified December 11 03:29 EST 2018. Contains 318049 sequences. (Running on oeis4.)