Number of starting positions of Nim with 2n pieces such that 2nd player wins. Partitions of 2n such that xor-sum of partitions is 0.

A048833

Number of starting positions of Nim with 2n pieces such that 2nd player wins. Partitions of 2n such that xor-sum of partitions is 0.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =4a(4) =6a(5) =10a(6) =16a(7) =31a(8) =43a(9) =68a(10) =98a(11) =153a(12) =213a(13) =317a(14) =443a(15) =704a(16) =971a(17) =1415a(18) =1975a(19) =2818a(20) =3865a(21) =5401a(22) =7366a(23) =10142a(24) =13639a(25) =18438a(26) =24583a(27) =32861a(28) =43345a(29) =57268

External references