

A056374


Number of step shifted (decimated) sequences using a maximum of five different symbols.


5



5, 25, 75, 375, 825, 8125, 13175, 103125, 327125, 2445625, 4884435, 61640625, 101732425, 1017323125, 3816215625, 19104609375, 47683838325, 635787765625, 1059638680675, 11924780390625, 39736963221875, 238418603522125, 541860418146375
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OFFSET

1,1


COMMENTS

See A056371 for an explanation of step shifts.


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: 266270.


LINKS

Table of n, a(n) for n=1..23.


FORMULA

The cycle index is implicit in Titsworth.
Sequences A056372A056375 fit a general formula, implemented in PARI/GP as follows: { a(m,n) = sum(k=1, n, if(gcd(k, n)==1, m^sumdiv(n, d, eulerphi(d)/znorder(Mod(k, d))), 0); ) / eulerphi(n) }.  Max Alekseyev, Nov 08 2007


CROSSREFS

Cf. A056413.
A row or column of A132191.
Sequence in context: A147130 A154286 A078234 * A171272 A243303 A238449
Adjacent sequences: A056371 A056372 A056373 * A056375 A056376 A056377


KEYWORD

nonn


AUTHOR

Marks R. Nester (nesterm(AT)dpi.qld.gov.au)


EXTENSIONS

More terms from Max Alekseyev, Nov 08 2007


STATUS

approved



