0,1

Number of ways to have center of gravity of an n-dimensional hypercube at center by weighting each vertex with 0 or 1.

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

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.

For a square (2 dimensions) there are 4 ways to weight each vertex with 0 or 1 while retaining center of gravity at center of the square, so a(2)=4.

Sequence in context: A051285 A079556 A052628 this_sequence A120417 A062267 A128501

Adjacent sequences: A006850 A006851 A006852 this_sequence A006854 A006855 A006856

nonn,nice

N. J. A. Sloane (njas(AT)research.att.com).