A070635 - OEIS

A070635

a(n) = n mod (sum of digits of n).

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 4, 3, 2, 1, 0, 9, 0, 0, 2, 3, 0, 4, 2, 0, 8, 7, 0, 3, 2, 3, 6, 3, 0, 7, 5, 3, 0, 1, 0, 1, 4, 0, 6, 3, 0, 10, 0, 3, 3, 5, 0, 5, 1, 9, 6, 3, 0, 5, 6, 0, 4, 10, 6, 2, 12, 9, 0, 7, 0, 3, 8, 3, 11, 7, 3, 15, 0, 0, 2, 6, 0, 7, 2, 12, 8

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OFFSET

1,14

LINKS

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

FORMULA

a(A005349(n)) = 0. - Reinhard Zumkeller, Mar 10 2008

A188641(n) = A000007(a(n)); a(A065877(n)) > 0. - Reinhard Zumkeller, Apr 07 2011

a(A138791(n)) = n and a(m) <> n for m < A138791(n). - Reinhard Zumkeller, Nov 07 2011

MATHEMATICA

Table[Mod[n, Total[IntegerDigits[n]]], {n, 100}] (* Harvey P. Dale, Mar 11 2013 *)

PROG