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Revision History for A266766

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Showing entries 1-10 | older changes
Growth series for affine Coxeter group (or affine Weyl group) D_11.
(history; published version)
#14 by OEIS Server at Sun Feb 18 12:44:59 EST 2024
LINKS

Ray Chandler, <a href="/A266766/b266766_1.txt">Table of n, a(n) for n = 0..1000</a>

#13 by Ray Chandler at Sun Feb 18 12:44:59 EST 2024
STATUS

editing

approved

Discussion
Sun Feb 18
12:44
OEIS Server: Installed first b-file as b266766.txt.
#12 by Ray Chandler at Sun Feb 18 12:44:55 EST 2024
LINKS

Ray Chandler, <a href="/A266766/b266766_1.txt">Table of n, a(n) for n = 0..1000</a>

<a href="/index/Rec#order_69">Index entries for linear recurrences with constant coefficients</a>, signature (8, -28, 55, -62, 28, 27, -54, 27, 27, -54, 27, 27, -53, 19, 56, -117, 118, -64, 10, -10, 63, -110, 89, -1, -81, 81, 0, -82, 89, -29, -18, -11, 99, -173, 173, -99, 11, 18, 29, -89, 82, 0, -81, 81, 1, -89, 110, -63, 10, -10, 64, -118, 117, -56, -19, 53, -27, -27, 54, -27, -27, 54, -27, -28, 62, -55, 28, -8, 1).

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approved

editing

#11 by Bruno Berselli at Wed Jul 28 08:12:09 EDT 2021
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proposed

approved

#10 by Andrey Zabolotskiy at Wed Jul 28 07:16:37 EDT 2021
STATUS

editing

proposed

#9 by Andrey Zabolotskiy at Wed Jul 28 07:16:35 EDT 2021
FORMULA

The growth series for the affine Coxeter group of type D_k (k >= 3) has Gg.f. = Product_i (1-x^{m_ki+1})/((1-x)*Prod_i (1-x^{m_i})) where the m_i are [1,3,5,...,2k-3,k-1].

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approved

editing

#8 by Andrew Howroyd at Tue Oct 29 17:22:27 EDT 2019
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proposed

approved

#7 by Michel Marcus at Tue Oct 29 12:22:35 EDT 2019
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editing

proposed

#6 by Michel Marcus at Tue Oct 29 12:22:31 EDT 2019
REFERENCES

N. Bourbaki, Groups Groupes et Algèbres de Lie, Chap. 4, 5 and 6, Hermann, Paris, 1968. See Chap. VI, Section 4, Problem 10b, page 231, W_a(t).

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approved

editing

#5 by N. J. A. Sloane at Mon Jan 11 18:29:05 EST 2016
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editing

approved