A056419 Number of step cyclic shifted sequences using exactly six different symbols.

0, 0, 0, 0, 0, 60, 360, 6030, 35280, 410976, 1174896, 19948200, 43022700, 543757860, 2524673904, 15399118440, 46338868800, 737917466160, 1459120076400, 19381180990752, 75959665269840, 534453892557660

Offset

1,6

Comments

See A056371 for an explanation of step shifts. Under step cyclic shifts, abcde, bdace, bcdea, cdeab and daceb etc. are equivalent.

References

M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia. [See A056391 for pdf file of Chap. 2]

Links

Table of n, a(n) for n=1..22.

Formula

A056414(n)-6*A056413(n)+15*A056412(n)-20*A056411(n)+15*A002729(n)-6.

Crossrefs

Cf. A056414.

Sequence in context: A119631 A269048 A056428 * A060489 A088942 A135037

Adjacent sequences: A056416 A056417 A056418 * A056420 A056421 A056422

Keyword

nonn

Author

Marks R. Nester

Status

approved