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A159582 Expansion of (1+6*x+x^2-2*x^3)/((x^2+2*x-1)*(x^2-2*x-1)), bisection is NSW numbers 0
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; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

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).

LINKS

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

FORMULA

a(n) = 3*A078057(n)/2-(-1)^n*A078057(n)/2. [From R. J. Mathar, Nov 10 2009]

CROSSREFS

A002315

Sequence in context: A095369 A006493 A037375 * A041553 A047190 A237711

Adjacent sequences:  A159579 A159580 A159581 * A159583 A159584 A159585

KEYWORD

easy,nonn

AUTHOR

Creighton Dement, Apr 16 2009

STATUS

approved

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Last modified December 7 23:55 EST 2016. Contains 278902 sequences.