Number of n X 4 nonnegative integer arrays with each row and column increasing from zero by 0 or 1.

Terms

a(0) =1a(1) =4a(2) =17a(3) =62a(4) =184a(5) =462a(6) =1022a(7) =2052a(8) =3819a(9) =6688a(10) =11143a(11) =17810a(12) =27482a(13) =41146a(14) =60012a(15) =85544a(16) =119493a(17) =163932a(18) =221293a(19) =294406a(20) =386540a(21) =501446a(22) =643402a(23) =817260a(24) =1028495a(25) =1283256a(26) =1588419a(27) =1951642a(28) =2381422a(29) =2887154