A nexus number is a figurate number built up of the nexus of cells less than steps away from a given cell. The th -dimensional
nexus number is given by
(1)
(2)
where
is a binomial coefficient. The symbolic representations
and sequences for first few -dimensional nexus numbers are given in the table below.
Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, pp. 53-54, 1996.Sloane,
N. J. A. Sequences A005408/M2400,
A003215/M4362, A005917/M4968,
and A022521 in "The On-Line Encyclopedia
of Integer Sequences."