|
| |
|
|
A056412
|
|
Number of step cyclic shifted sequences using a maximum of four different symbols.
|
|
6
| |
|
|
4, 10, 20, 55, 76, 430, 460, 2605, 5164, 26962, 38572, 367645, 431780, 3203430, 8993804, 33860125, 63177820, 636462350, 803796700, 6886280971, 17456594380, 79965550558, 139069427020, 1466861706095
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
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.
R. C. Titsworth, (1964). Equivalence classes of periodic sequences. Illinois J. Math. 8: 266-270.
|
|
|
FORMULA
| Refer to Titsworth or slight "simplification" in Nester..
|
|
|
CROSSREFS
| Cf. A002729.
Sequence in context: A019498 A015889 A020149 * A032275 A015220 A047199
Adjacent sequences: A056409 A056410 A056411 * A056413 A056414 A056415
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Marks R. Nester (nesterm(AT)dpi.qld.gov.au)
|
| |
|
|
