A192697 - OEIS

A192697

Number of 1X10 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 1 zero-sum 10-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations)

2, 10, 54, 223, 758, 2239, 5888, 14055, 30973, 64220, 125681, 234793, 421151, 728848, 1221122, 1990599, 3162071, 4910443, 7471318, 11154759, 16368766, 23649285, 33671936, 47306193, 65642371, 90041983, 122175046, 164141152, 218451247

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OFFSET

1,1

COMMENTS

Column (1,10,n) of A192710

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..53

EXAMPLE

Some solutions for 1X10 <= 2*4^2

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

CROSSREFS

Sequence in context: A009320 A204186 A009322 * A102536 A221604 A163909

Adjacent sequences: A192694 A192695 A192696 * A192698 A192699 A192700

KEYWORD

nonn

AUTHOR

R. H. Hardin Jul 07 2011

STATUS

approved