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A053188 Distance to nearest square. 10
0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 3, 3, 2, 1, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4 (list; graph; refs; listen; history; internal format)
OFFSET

0,7

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

EXAMPLE

a(7)=2 since 9 is closest square to 7 and |9-7|=2

MATHEMATICA

Flatten[Table[Abs[Nearest[Range[0, 25]^2, n]-n], {n, 0, 120}]]  (* From Harvey P. Dale, Mar 14 2011 *)

PROG

(Haskell)

a053188 0 = 0

a053188 n = min (n - last xs) (head ys - n) where

   (xs, ys) = span (< n) a000290_list

-- Reinhard Zumkeller, Nov 28 2011

CROSSREFS

Cf. A053187.

Cf. A074989, A000290.

Sequence in context: A185700 A061926 A180835 * A109389 A098884 A039800

Adjacent sequences:  A053185 A053186 A053187 * A053189 A053190 A053191

KEYWORD

easy,nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Mar 01 2000

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Last modified February 15 16:28 EST 2012. Contains 205823 sequences.