A056447 Number of primitive (period n) step cyclic shifted sequence structures using exactly five different symbols.

0, 0, 0, 0, 1, 3, 6, 52, 148, 1139, 2306, 30118, 48476, 478951, 1762916, 8601578, 20789656, 268188491, 431583572, 4685757971, 15045763306, 86991020695, 190548007556, 2526401778030, 4873374476387, 39199367113661

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. Permuting the symbols will not change the structure.

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..26.

Formula

A056442(n)-A056441(n).

Crossrefs

Cf. A056427.

Sequence in context: A203765 A111752 A102931 * A056437 A309320 A012275

Adjacent sequences: A056444 A056445 A056446 * A056448 A056449 A056450

Keyword

nonn

Author

Marks R. Nester

Status

approved