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A088330 Sum of the remainders when n is divided by nonzero numbers obtained by deleting one digit. The sum ranges over all the digits. 0
0, 0, 0, 1, 2, 0, 4, 3, 2, 1, 0, 1, 0, 3, 0, 1, 2, 7, 4, 3, 0, 1, 2, 0, 3, 2, 0, 3, 8, 3, 0, 1, 2, 4, 0, 1, 6, 8, 0, 5, 0, 1, 2, 5, 6, 0, 3, 3, 5, 9, 0, 1, 2, 3, 4, 5, 0, 5, 6, 9, 0, 1, 2, 4, 6, 5, 10, 0, 7, 9, 0, 1, 2, 5, 4, 5, 8, 10, 0, 9, 0, 1, 2, 3, 6, 5, 6, 13, 10, 0, 0, 3, 8, 16, 10, 5, 20, 14, 12, 24, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,5

COMMENTS

a((10^n - 1)/9) = n. for n > 2. a(1111111 n times ) = a(A000042(n)) = n, n > 2.

Differs from A067458 first at n=101, where A067458(101)=0 and a(101) = (101 mod 1) + (101 mod 11) + (101 mod 10)=0+2+1=3. [R. J. Mathar, Sep 11 2008]

LINKS

Table of n, a(n) for n=10..110.

EXAMPLE

a(1234) = Rem[1234/123] + Rem[1234/124]+ Rem[1234/134] + Rem[1234/234] = 4+ 118 + 28 + 64 = 214 where Rem [a/b] = the remainder when a is divided by b.

CROSSREFS

Cf. A000042.

Sequence in context: A265584 A078909 A067458 * A324471 A122512 A128263

Adjacent sequences:  A088327 A088328 A088329 * A088331 A088332 A088333

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy, Oct 01 2003

EXTENSIONS

More terms from Ray Chandler, Oct 06 2003

STATUS

approved

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Last modified June 3 05:29 EDT 2020. Contains 334798 sequences. (Running on oeis4.)