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A192705 Number of 5X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 5 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations) 1
2, 6, 14, 29, 56, 101, 166, 267, 407, 604, 865, 1211, 1659, 2236, 2956, 3861, 4949, 6299, 7906, 9849, 12120, 14817, 17958, 21641, 25859, 30753, 36318, 42732, 49917, 58116, 67296, 77693, 89219, 102175, 116527, 132515, 150117, 169602, 191013, 214662 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column (5,2,n) of A192710

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

EXAMPLE

Some solutions for 5X2 <= 2*4^2

.-3..3...-2..2...-2..2...-1..1...-1..1...-2..2...-3..3...-3..3...-3..3...-2..2

.-1..1...-1..1...-2..2...-1..1...-1..1...-2..2...-1..1....0..0...-1..1...-2..2

.-1..1...-1..1...-1..1....0..0...-1..1...-2..2...-1..1....0..0....0..0...-2..2

.-1..1....0..0...-1..1....0..0....0..0...-2..2...-1..1....0..0....0..0....0..0

.-1..1....0..0...-1..1....0..0....0..0....0..0....0..0....0..0....0..0....0..0

CROSSREFS

Sequence in context: A321027 A214907 A169948 * A123991 A112511 A143702

Adjacent sequences:  A192702 A192703 A192704 * A192706 A192707 A192708

KEYWORD

nonn

AUTHOR

R. H. Hardin Jul 07 2011

STATUS

approved

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Last modified January 18 01:10 EST 2022. Contains 350410 sequences. (Running on oeis4.)