"STIRLING" transform of squares A000290.

Terms

a(0) =0a(1) =1a(2) =5a(3) =22a(4) =99a(5) =471a(6) =2386a(7) =12867a(8) =73681a(9) =446620a(10) =2856457a(11) =19217243a(12) =135610448a(13) =1001159901a(14) =7714225057a(15) =61904585510a(16) =516347066551