A056416 Number of step cyclic shifted sequences using exactly three different symbols.

0, 0, 1, 6, 9, 56, 51, 258, 380, 1500, 1611, 12298, 10245, 57108, 121721, 346146, 474489, 3589534, 3397143, 21984804, 41570773, 142619388, 186027579, 1476414178, 1694455320, 8146633638, 15690141155

Offset

1,4

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..27.

Formula

A056411(n)-3*A002729(n)+3.

Crossrefs

Cf. A056411.

Sequence in context: A254207 A098662 A056425 * A061401 A359800 A264380

Adjacent sequences: A056413 A056414 A056415 * A056417 A056418 A056419

Keyword

nonn

Author

Marks R. Nester

Status

approved