Shifts 3 places right under binomial transform.

Terms

a(0) =1a(1) =1a(2) =1a(3) =-6a(4) =14a(5) =-25a(6) =32a(7) =6a(8) =-250a(9) =1222a(10) =-4380a(11) =13059a(12) =-31705a(13) =48464a(14) =76354a(15) =-1159911a(16) =7041015a(17) =-33400183a(18) =135931668a(19) =-473704510a(20) =1277600695a(21) =-1233828142a(22) =-16196871172a(23) =169736941512