Triangle T(n,k): the number of binary sequences of n zeros and n ones in which the longest run is of length k.

A229756

Triangle T(n,k): the number of binary sequences of n zeros and n ones in which the longest run is of length k.

Terms

    a(0) =2a(1) =2a(2) =4a(3) =2a(4) =12a(5) =6a(6) =2a(7) =32a(8) =28a(9) =8a(10) =2a(11) =82a(12) =110a(13) =48a(14) =10a(15) =2a(16) =206a(17) =408a(18) =224a(19) =72a(20) =12a(21) =2a(22) =516a(23) =1454a(24) =968a(25) =378a(26) =100a(27) =14a(28) =2a(29) =1294

External references