A056417 - OEIS

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

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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..24.

FORMULA

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

CROSSREFS

Cf. A056412.

Sequence in context: A264149 A035087 A056426 * A363412 A322227 A254433

Adjacent sequences: A056414 A056415 A056416 * A056418 A056419 A056420

KEYWORD

nonn

AUTHOR

Marks R. Nester

STATUS

approved