Table T(n,k) = ((n+k-1)*(n+k-2)/2+n)^n, n,k >0 read by antidiagonals.

Terms

a(0) =1a(1) =2a(2) =9a(3) =4a(4) =25a(5) =216a(6) =7a(7) =64a(8) =729a(9) =10000a(10) =11a(11) =144a(12) =2197a(13) =38416a(14) =759375a(15) =16a(16) =289a(17) =5832a(18) =130321a(19) =3200000a(20) =85766121a(21) =22a(22) =529a(23) =13824a(24) =390625a(25) =11881376a(26) =387420489a(27) =13492928512a(28) =29a(29) =900