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A100828 Expansion of (1+2*x-2*x^3-3*x^2)/((x-1)*(x+1)*(x^2+2*x-1)). 10
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; text; internal format)
OFFSET

0,2

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)

LINKS

Table of n, a(n) for n=0..28.

Robert Munafo, Sequences Related to Floretions

FORMULA

a(n) = (u^(n+1)+1)*(v^(n+1)+1)/2 with u = 1+sqrt(2), v = 1-sqrt(2). - Vladeta Jovovic, May 30 2007

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

CROSSREFS

Cf. A002315, A002203.

Sequence in context: A077920 A234269 A135582 * A267488 A230601 A132207

Adjacent sequences:  A100825 A100826 A100827 * A100829 A100830 A100831

KEYWORD

easy,nonn

AUTHOR

Creighton Dement, Jan 06 2005; revised Aug 22 2005

STATUS

approved

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Last modified August 24 05:48 EDT 2017. Contains 291052 sequences.