A056418 Number of step cyclic shifted sequences using exactly five different symbols.

0, 0, 0, 0, 6, 150, 400, 4080, 15480, 127818, 269340, 3493680, 5777190, 57262450, 210945182, 1030388115, 2493913170, 32176448060, 51785999300, 562228325904, 1805427491920, 10438821843750, 22865672706000

Offset

1,5

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..23.

Formula

A056413(n)-5*A056412(n)+10*A056411(n)-10*A002729(n)+5.

Crossrefs

Cf. A056413.

Sequence in context: A264645 A089480 A056427 * A346694 A070025 A291110

Adjacent sequences: A056415 A056416 A056417 * A056419 A056420 A056421

Keyword

nonn

Author

Marks R. Nester

Status

approved