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A266768 Molien series for invariants of finite Coxeter group D_5. 10
1, 0, 1, 0, 2, 1, 3, 1, 5, 2, 7, 3, 10, 5, 13, 7, 18, 10, 23, 13, 30, 18, 37, 23, 47, 30, 57, 37, 70, 47, 84, 57, 101, 70, 119, 84, 141, 101, 164, 119, 192, 141, 221, 164, 255, 192, 291, 221, 333, 255, 377, 291, 427, 333, 480, 377, 540, 427, 603, 480, 674, 540, 748, 603, 831, 674, 918, 748, 1014, 831, 1115, 918, 1226, 1014, 1342, 1115 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

The Molien series for the finite Coxeter group of type D_k (k >= 3) has G.f. = 1/Prod_i (1-x^(1+m_i)) where the m_i are [1,3,5,...,2k-3,k-1]. If k is even only even powers of x appear, and we bisect the sequence.

REFERENCES

J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge, 1990. See Table 3.1, page 59.

LINKS

Table of n, a(n) for n=0..75.

Index entries for Molien series

FORMULA

G.f. = 1/((1-t^5)*(1-t^2)*(1-t^4)*(1-t^6)*(1-t^8)).

CROSSREFS

Molien series for finite Coxeter groups D_3 through D_12 are A266755, A266769, A266768, A003402, and A266770-A266775.

Sequence in context: A257111 A011129 A262364 * A154279 A065370 A147783

Adjacent sequences:  A266765 A266766 A266767 * A266769 A266770 A266771

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jan 10 2016

STATUS

approved

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Last modified September 20 05:51 EDT 2019. Contains 327212 sequences. (Running on oeis4.)