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Search: id:A159582
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| A159582 |
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Expanion of (1+6*x+x^2-2*x^3)/((x^2+2*x-1)*(x^2-2*x-1)), bisection is NSW numbers |
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1
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| 1, 6, 7, 34, 41, 198, 239, 1154, 1393, 6726, 8119, 39202, 47321, 228486, 275807, 1331714, 1607521, 7761798, 9369319, 45239074, 54608393, 263672646, 318281039, 1536796802, 1855077841, 8957108166, 10812186007, 52205852194, 63018038201
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Define c = [0, 7, 0, 41, 0, 239, 0, 1393, 0, 8119, 0, 47321, ...] where (c(2n+1)) = A002315(n+1) (NSW numbers). Then (a(n)) has the property c(2n) - a(2n) = -a(2n) = -A002315(n) and c(2n+1) - a(2n+1) = A002315(n) (NSW numbers).
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LINKS
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Creighton Dement, Online Floretion Multiplier
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FORMULA
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a(n) = 3*A078057(n)/2-(-1)^n*A078057(n)/2. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 10 2009]
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CROSSREFS
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A002315
Sequence in context: A095369 A006493 A037375 this_sequence A041553 A047190 A033043
Adjacent sequences: A159579 A159580 A159581 this_sequence A159583 A159584 A159585
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KEYWORD
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easy,nonn
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AUTHOR
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Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Apr 16 2009
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