A056417 Number of step cyclic shifted sequences using exactly four different symbols.

0, 0, 0, 3, 12, 136, 204, 1437, 3520, 20700, 31956, 317513, 390364, 2973536, 8504720, 32471391, 61276740, 622088400, 790198476, 6798297447, 17290258088, 79394956608, 138325216092, 1460955482487

Offset: 1

Author

Marks R. Nester

Keywords

• nonn

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]

Crossrefs

Cf. A056412.

Formula

A056412(n)-4*A056411(n)+6*A002729(n)-4.