T(n,k)=Number of 0..k arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors or less than both neighbors.

A200871

T(n,k)=Number of 0..k arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors or less than both neighbors.

Terms

    a(0) =6a(1) =17a(2) =10a(3) =36a(4) =37a(5) =16a(6) =65a(7) =94a(8) =77a(9) =26a(10) =106a(11) =195a(12) =236a(13) =163a(14) =42a(15) =161a(16) =356a(17) =567a(18) =602a(19) =343a(20) =68a(21) =232a(22) =595a(23) =1168a(24) =1673a(25) =1528a(26) =723a(27) =110a(28) =321a(29) =932

External references