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A047470 Numbers that are congruent to {0, 3} mod 8. +0
1
0, 3, 8, 11, 16, 19, 24, 27, 32, 35, 40, 43, 48, 51, 56, 59, 64, 67, 72, 75, 80, 83, 88, 91, 96, 99, 104, 107, 112, 115, 120, 123, 128, 131, 136, 139, 144, 147, 152, 155, 160, 163, 168, 171, 176, 179, 184, 187, 192 (list; graph; listen)
OFFSET

1,2

COMMENT

Maximum number of squares attacked by a queen on an n X n chessboard - Stewart Gordon (smjg(AT)iname.com), Mar 23 2001

Number of squares attacked by a queen on a toroidal chessboard - Diego Torres (torresvillarroel(AT)hotmail.com), May 19 2001

List of squared distances between points of diamond 'lattice' with minimal distance sqrt(3) - Arnold Neumaier (Arnold.Neumaier(AT)univie.ac.at), Aug 01 2003

FORMULA

a(n) = a(n-1) + 4 + (-1)^n = a(n-1) + a(n-2) - a(n-3) = A042948(n) + A005843(n); g.f.: (3x+5*x^2)/((1-x)*(1-x^2)).

CROSSREFS

Cf. A042948.

Sequence in context: A081858 A111132 A003234 this_sequence A003623 A058572 A105410

Adjacent sequences: A047467 A047468 A047469 this_sequence A047471 A047472 A047473

KEYWORD

nonn

AUTHOR

njas

page 1

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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