A006854 Nonantipodal balanced colorings of n-cube. (Formerly M3136)

1, 1, 3, 33, 13699, 19738610121, 601031719117714604698691

Offset

1,3

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=1..7.

E. M. Palmer, R. C. Read and R. W. Robinson, Balancing the n-cube: a census of colorings, J. Algebraic Combin., 1 (1992), 257-273.

Formula

For n > 1, a(n) = Sum_{k=0..2^(n-2)} A(n,2*k) where A(n,2*k) = N(n,2*k) - Sum_{i=0..k-1} binomial(2^(n-1)-2*i, k-i) * A(n,2*i) with N(n,2*k) as defined in A006853 [From Palmer et al.]. - Sean A. Irvine, Aug 16 2017

Crossrefs

Sequence in context: A204687 A134477 A080985 * A241793 A225427 A037103

Adjacent sequences: A006851 A006852 A006853 * A006855 A006856 A006857

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

a(7) from Sean A. Irvine, Aug 16 2017

Status

approved