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A075018 Smallest k such that the concatenation k, k-1,k-2,k-3 is divisible by n; or 0 if no such number exists. 0
3, 3, 3, 5, 3, 3, 5, 5, 6, 3, 18, 9, 11, 5, 3, 15, 13, 15, 19, 23, 18, 29, 29, 15, 28, 11, 33, 5, 4, 3, 40, 15, 18, 13, 18, 15, 28, 19, 24, 23, 26, 39, 7, 51, 33, 29, 55, 15, 53, 53, 30, 63, 54, 33, 18, 5, 57, 41, 56, 63, 69, 71, 60, 15, 63 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

a(7) = 5 as 7 divides 5432.

MATHEMATICA

Transpose[Flatten[Table[Select[Reverse[Partition[Range[100, 0, -1], 4, 1]], Divisible[FromDigits[Flatten[IntegerDigits/@#]], n]&, 1], {n, 70}], 1]] [[1]] (* From Harvey P. Dale, Nov 22 2011 *)

CROSSREFS

Cf. A075113, A075114, A075115, A075116, A075117.

Sequence in context: A103153 A162022 A096918 * A125958 A132448 A132450

Adjacent sequences:  A075015 A075016 A075017 * A075019 A075020 A075021

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 01 2002

EXTENSIONS

Corrected and extended by Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 19 2003

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Last modified February 15 16:56 EST 2012. Contains 205825 sequences.