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).
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).
Terms
- a(0) =2a(1) =10a(2) =54a(3) =223a(4) =758a(5) =2239a(6) =5888a(7) =14055a(8) =30973a(9) =64220a(10) =125681a(11) =234793a(12) =421151a(13) =728848a(14) =1221122a(15) =1990599a(16) =3162071a(17) =4910443a(18) =7471318a(19) =11154759a(20) =16368766a(21) =23649285a(22) =33671936a(23) =47306193a(24) =65642371a(25) =90041983a(26) =122175046a(27) =164141152a(28) =218451247
External references
- oeis: A192697