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Search: id:A113922
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| A113922 |
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G.f.: (1+14*x+x^2)^3/((1-x))^4. |
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+0
2
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| 1, 46, 769, 5632, 18688, 44032, 85760, 147968, 234752, 350208, 498432, 683520, 909568, 1180672, 1500928, 1874432, 2305280, 2797568, 3355392, 3982848, 4684032, 5463040, 6323968, 7270912, 8307968, 9439232, 10668800, 12000768, 13439232, 14988288, 16652032
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Coefficient expansion of the elliptical invariant for the cube.
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REFERENCES
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Gareth Jones and David Singerman, Bull. London Math. Soc. 28, (1996) pages 561-590 (S_4 group invariant on page 585)
H. McKean and V. Moll. Elliptic Curves, Camb. Univ. Press, p. 22.
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FORMULA
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a(n)=256(n-1)(8n^2-16n+9)/3 for n>=3. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 02 2006
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MAPLE
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a:=proc(n) if n=0 then 1 elif n=1 then 46 elif n=2 then 769 else 256*(n-1)*(8*n^2-16*n+9)/3 fi end: seq(a(n), n=0..30); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 02 2006
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CROSSREFS
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Sequence in context: A077732 A078156 A066405 this_sequence A078427 A002138 A010962
Adjacent sequences: A113919 A113920 A113921 this_sequence A113923 A113924 A113925
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 29 2006
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EXTENSIONS
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Corrected, edited and extended by njas, Mar 31 2006, Aug 13 2008
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