Column k = 3 of triangular array in A165241.

Terms

a(0) =1a(1) =10a(2) =55a(3) =231a(4) =833a(5) =2720a(6) =8280a(7) =23920a(8) =66352a(9) =178176a(10) =465920a(11) =1191680a(12) =2991360a(13) =7389184a(14) =17999872a(15) =43315200a(16) =103116800a(17) =243138560a(18) =568393728a(19) =1318518784a(20) =3037265920a(21) =6952058880a(22) =15820390400a(23) =35809918976a(24) =80659611648