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A192704 Number of 4X3 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 4 zero-sum 3-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations) 1
2, 10, 45, 191, 639, 1925, 5059, 12197, 27061, 55957, 109220, 204227, 361922, 621790, 1032797, 1662821, 2607574, 4007507, 5999290, 8835971, 12784870, 18186200, 25491781, 35326689, 48192368, 65114102, 87009836, 115061673, 150717188 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column (4,3,n) of A192710

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..63

EXAMPLE

Some solutions for 4X3 <= 2*4^2

.-2..1..1...-2..0..2...-2..0..2...-3..1..2...-3..1..2...-3..1..2...-3..0..3

.-2..1..1...-2..1..1...-2..0..2...-2..0..2...-1.-1..2...-3..1..2...-2..0..2

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

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

CROSSREFS

Sequence in context: A145239 A068561 A068484 * A005963 A140588 A137334

Adjacent sequences:  A192701 A192702 A192703 * A192705 A192706 A192707

KEYWORD

nonn

AUTHOR

R. H. Hardin Jul 07 2011

STATUS

approved

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Last modified January 21 14:37 EST 2022. Contains 350479 sequences. (Running on oeis4.)