Binomial transform of hexagonal pyramidal numbers A002412.

Terms

a(0) =0a(1) =1a(2) =9a(3) =46a(4) =184a(5) =640a(6) =2032a(7) =6048a(8) =17152a(9) =46848a(10) =124160a(11) =321024a(12) =813056a(13) =2023424a(14) =4960256a(15) =12001280a(16) =28704768a(17) =67960832a(18) =159449088a(19) =371064832a(20) =857210880a(21) =1967128576a(22) =4486856704a(23) =10177478656a(24) =22968008704a(25) =51589939200a(26) =115376914432