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A266773 Molien series for invariants of finite Coxeter group D_10 (bisected). 0
1, 1, 2, 3, 5, 8, 12, 17, 25, 35, 49, 66, 90, 119, 158, 206, 267, 342, 437, 551, 694, 865, 1074, 1324, 1627, 1985, 2414, 2919, 3518, 4219, 5045, 6003, 7125, 8422, 9927, 11660, 13660, 15949, 18578, 21575, 24998, 28884, 33303, 38298, 43955, 50329, 57513, 65581, 74645, 84786 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

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..49.

Index entries for Molien series

FORMULA

G.f.: 1/((1-t^10)^2*(1-t^2)*(1-t^4)*(1-t^6)*(1-t^8)*(1-t^12)*(1-t^14)*(1-t^16)*(1-t^18)), bisected.

CROSSREFS

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

Sequence in context: A129504 A241553 A241549 * A024789 A318028 A200661

Adjacent sequences:  A266770 A266771 A266772 * A266774 A266775 A266776

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jan 11 2016

STATUS

approved

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Last modified October 16 01:14 EDT 2019. Contains 328038 sequences. (Running on oeis4.)