T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum and elements alternately strictly increasing and strictly decreasing.

A200057

T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum and elements alternately strictly increasing and strictly decreasing.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =1a(4) =4a(5) =4a(6) =1a(7) =6a(8) =10a(9) =4a(10) =1a(11) =8a(12) =22a(13) =26a(14) =6a(15) =1a(16) =10a(17) =36a(18) =78a(19) =68a(20) =10a(21) =1a(22) =12a(23) =56a(24) =172a(25) =288a(26) =178a(27) =14a(28) =1a(29) =14

External references