Number of 0..n arrays x(0..4) of 5 elements without any two consecutive increases.

Terms

a(0) =32a(1) =216a(2) =840a(3) =2425a(4) =5796a(5) =12152a(6) =23136a(7) =40905a(8) =68200a(9) =108416a(10) =165672a(11) =244881a(12) =351820a(13) =493200a(14) =676736a(15) =911217a(16) =1206576a(17) =1573960a(18) =2025800a(19) =2575881a(20) =3239412a(21) =4033096a(22) =4975200a(23) =6085625a(24) =7385976a(25) =8899632a(26) =10651816a(27) =12669665a(28) =14982300