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Revision History for A266765

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Showing entries 1-10 | older changes
Growth series for affine Coxeter group (or affine Weyl group) D_10.
(history; published version)
#15 by OEIS Server at Sun Feb 18 12:42:55 EST 2024
LINKS

Ray Chandler, <a href="/A266765/b266765_1.txt">Table of n, a(n) for n = 0..1000</a>

#14 by Ray Chandler at Sun Feb 18 12:42:55 EST 2024
STATUS

editing

approved

Discussion
Sun Feb 18
12:42
OEIS Server: Installed first b-file as b266765.txt.
#13 by Ray Chandler at Sun Feb 18 12:42:52 EST 2024
LINKS

Ray Chandler, <a href="/A266765/b266765_1.txt">Table of n, a(n) for n = 0..1000</a>

<a href="/index/Rec#order_64">Index entries for linear recurrences with constant coefficients</a>, signature (7, -21, 34, -28, -1, 34, -48, 34, 0, -35, 56, -62, 57, -41, 15, 15, -39, 43, -19, -20, 50, -61, 57, -43, 28, -22, 21, -16, 12, -17, 26, -30, 26, -17, 12, -16, 21, -22, 28, -43, 57, -61, 50, -20, -19, 43, -39, 15, 15, -41, 57, -62, 56, -35, 0, 34, -48, 34, -1, -28, 34, -21, 7, -1).

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approved

editing

#12 by Bruno Berselli at Wed Jul 28 08:12:00 EDT 2021
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proposed

approved

#11 by Andrey Zabolotskiy at Wed Jul 28 07:16:29 EDT 2021
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editing

proposed

#10 by Andrey Zabolotskiy at Wed Jul 28 07:16:27 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

#9 by Andrew Howroyd at Tue Oct 29 17:22:39 EDT 2019
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proposed

approved

#8 by Michel Marcus at Tue Oct 29 12:22:17 EDT 2019
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editing

proposed

#7 by Michel Marcus at Tue Oct 29 12:22:11 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

#6 by N. J. A. Sloane at Mon Jan 11 18:29:36 EST 2016
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editing

approved