T(n,k)=Number of 0..k arrays x(0..n+1) of n+2 elements without any two consecutive increases or two consecutive decreases.

A200838

T(n,k)=Number of 0..k arrays x(0..n+1) of n+2 elements without any two consecutive increases or two consecutive decreases.

Terms

    a(0) =8a(1) =25a(2) =16a(3) =56a(4) =69a(5) =32a(6) =105a(7) =194a(8) =191a(9) =64a(10) =176a(11) =435a(12) =676a(13) =529a(14) =128a(15) =273a(16) =846a(17) =1817a(18) =2356a(19) =1465a(20) =256a(21) =400a(22) =1491a(23) =4108a(24) =7587a(25) =8210a(26) =4057a(27) =512a(28) =561a(29) =2444

External references