A column and diagonal of A060187 (k=3).

Terms

a(0) =1a(1) =23a(2) =230a(3) =1682a(4) =10543a(5) =60657a(6) =331612a(7) =1756340a(8) =9116141a(9) =46702427a(10) =237231970a(11) =1198382694a(12) =6031771195a(13) =30287995733a(14) =151856096504a(15) =760614930344