T(n,k)=Number of arrays of 2n nondecreasing integers in -k..k with sum zero and equal numbers greater than zero and less than zero.

A203291

T(n,k)=Number of arrays of 2n nondecreasing integers in -k..k with sum zero and equal numbers greater than zero and less than zero.

Terms

    a(0) =2a(1) =3a(2) =3a(3) =4a(4) =6a(5) =4a(6) =5a(7) =12a(8) =10a(9) =5a(10) =6a(11) =21a(12) =28a(13) =15a(14) =6a(15) =7a(16) =35a(17) =69a(18) =57a(19) =21a(20) =7a(21) =8a(22) =54a(23) =154a(24) =188a(25) =104a(26) =28a(27) =8a(28) =9a(29) =80

External references