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A100828
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Expansion of (1+2*x-2*x^3-3*x^2)/((x-1)*(x+1)*(x^2+2*x-1)).
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10
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1, 4, 7, 18, 41, 100, 239, 578, 1393, 3364, 8119, 19602, 47321, 114244, 275807, 665858, 1607521, 3880900, 9369319, 22619538, 54608393, 131836324, 318281039, 768398402, 1855077841, 4478554084, 10812186007, 26102926098, 63018038201
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| A floretion-generated sequence relating NSW and Pell numbers.
Elements of odd index in the sequence gives A002315. a(n+2) - a(n) = A002203(n+2)
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LINKS
| Robert Munafo, Sequences Related to Floretions
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FORMULA
| a(n) = (u^(n+1)+1)*(v^(n+1)+1)/2 with u = 1+sqrt(2), v = 1-sqrt(2). - Vladeta Jovovic (vladeta(AT)eunet.rs), May 30 2007
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PROG
| Floretion Algebra Multiplication Program, FAMP
Floretion Algebra Multiplication Program, FAMP Code: 2tesseq[B*C} with B = - .25'i + .25'j + .5'k - .25i' + .25j' + .5k' - .5'kk' - .25'ik' - .25'jk' - .25'ki' - .25'kj' - .5e and C = + .5'i - .25'j + .25'k + .5i' - .25j' + .25k' - .5'ii' - .25'ij' - .25'ik' - .25'ji' - .25'ki' - .5e
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CROSSREFS
| Cf. A002315, A002203.
Sequence in context: A124400 A077920 A135582 * A132207 A097537 A032723
Adjacent sequences: A100825 A100826 A100827 * A100829 A100830 A100831
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KEYWORD
| easy,nonn
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AUTHOR
| Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Jan 06 2005; revised Aug 22 2005
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