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A029455 Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 10 (most significant digit on left). 2
1, 2, 3, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 69, 75, 90, 100, 108, 120, 125, 135, 150, 162, 180, 200, 216, 225, 248, 250, 270, 300, 324, 360, 375, 405, 450, 470, 500, 540, 558, 600, 648, 675, 710, 750, 810, 900, 1000, 1053, 1080, 1116 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Right concatenation, normal order of digits.

LINKS

M. F. Hasler, Table of n, a(n) for n = 1..236

EXAMPLE

n = 13 is not a term since 12345678910111213 is not divisible by 13.

PROG

(PARI) c=0; for(d=1, 1e9, for(n=d, -1+d*=10, (c=c*d+n)%n|print1(n", ")); d--)  \\ - M. F. Hasler, Sep 11 2011

CROSSREFS

Cf. A029447-A029470, A029471-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

Sequence in context: A188375 A047331 A029451 * A167803 A092213 A117142

Adjacent sequences:  A029452 A029453 A029454 * A029456 A029457 A029458

KEYWORD

nonn,base

AUTHOR

Olivier Gerard (olivier.gerard(AT)gmail.com)

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Last modified February 15 21:56 EST 2012. Contains 205860 sequences.