A007330 Difference between the number of 7-dimensional partitions of n and an approximation derived from binomial(n,6).

0, 0, 0, 0, 0, 70, 490, 2632, 11606, 46375, 173362, 618086, 2123709, 7086864, 23085942, 73761644, 232002909, 720819622, 2218608551, 6782480955

Offset: 1

Author

N. J. A. Sloane, Mira Bernstein

Keywords

• nonn
• more

References

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

Links

• A. O. L. Atkin, P. Bratley, I. G. McDonald and J. K. S. McKay, Some computations for m-dimensional partitions, Proc. Camb. Phil. Soc., 63 (1967), 1097-1100; alternative link.
• A. O. L. Atkin, P. Bratley, I. G. McDonald and J. K. S. McKay, Some computations for m-dimensional partitions, Proc. Camb. Phil. Soc., 63 (1967), 1097-1100. [Annotated scanned copy]

Crossrefs

Cf. A000427, A000428, A007326, A007327, A007328, A007329.

Formula

a(n) = A000428(n) - A000427(n). - Sean A. Irvine, Dec 18 2017

Extensions

a(11)-a(18) from Sean A. Irvine, Dec 18 2017

a(19)-a(20) from Amiram Eldar, May 11 2024