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Search: id:A029143
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| A029143 |
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Expansion of 1/((1-x^2)*(1-x^3)*(1-x^5)*(1-x^6)). Molien series for u.g.g.r. #31 of order 46080. Poincare series for ring of Siegel modular forms of genus 2. |
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+0
1
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| 1, 0, 1, 1, 1, 2, 3, 2, 4, 4, 5, 6, 8, 7, 10, 11, 12, 14, 17, 16, 21, 22, 24, 27, 31, 31, 37, 39, 42, 46, 52, 52, 60, 63, 67, 73, 80, 81, 91, 95, 101, 108, 117, 119, 131, 137, 144, 153, 164, 167, 182, 189, 198, 209, 222
(list; graph; listen)
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OFFSET
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0,6
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REFERENCES
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W. C. Huffman, The biweight enumerator of self-orthogonal binary codes, Discrete Math., 26 (1979), 129-143.
J. Igusa, On Siegel modular forms of genus 2, Amer. J. Math., 84 (1962), 175-200.
H. Klingen, Intro. lectures on Siegel modular forms, Cambridge, p. 123, Corollary.
L. Smith, Polynomial Invariants of Finite Groups, Peters, 1995, p. 199 (No. 31).
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LINKS
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Index entries for Molien series
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MAPLE
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M := Matrix(16, (i, j)-> if (i=j-1) or (j=1 and member(i, [2, 3, 6, 10, 13, 14])) then 1 elif j=1 and member(i, [7, 9, 16]) then -1 elif j=1 and i=8 then -2 else 0 fi); a := n -> (M^(n))[1, 1]; seq (a(n), n=0..54); - Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 25 2008
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CROSSREFS
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Sequence in context: A087437 A081315 A035662 this_sequence A072406 A120680 A071494
Adjacent sequences: A029140 A029141 A029142 this_sequence A029144 A029145 A029146
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KEYWORD
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nonn,easy,nice
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AUTHOR
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njas
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