Number of 0..n arrays x(0..5) of 6 elements without any two consecutive increases.

Terms

a(0) =64a(1) =622a(2) =3136a(3) =11100a(4) =31395a(5) =75992a(6) =164004a(7) =324087a(8) =597190a(9) =1039654a(10) =1726660a(11) =2756026a(12) =4252353a(13) =6371520a(14) =9305528a(15) =13287693a(16) =18598188a(17) =25569934a(18) =34594840a(19) =46130392a(20) =60706591a(21) =78933240a(22) =101507580a(23) =129222275a(24) =162973746a(25) =203770854