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A077913 Expansion of (1-x)^(-1)/(1+x+2*x^2+x^3). 0
1, 0, -1, 1, 2, -2, -2, 5, 2, -9, 1, 16, -8, -24, 25, 32, -57, -31, 114, 6, -202, 77, 322, -273, -447, 672, 496, -1392, -271, 2560, -625, -4223, 2914, 6158, -7762, -7467, 16834, 5863, -32063, 3504, 54760, -29704, -83319, 87968, 108375, -200991, -103726, 397334, 11110, -702051, 282498, 1110495 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..51.

Index entries for linear recurrences with constant coefficients, signature (0,-1,1,1).

FORMULA

G.f.: 1-x^2/(U(0)+x^2) where U(k)= 1 + (1+x)*x/( 1 - (1+x)*x/((1+x)*x + 1/U(k+1))) ; (continued fraction, 2-step). - Sergei N. Gladkovskii, Oct 24 2012

5*a(n) = 1+4*A077979(n)+3*A077979(n-1)+A077979(n-2). - R. J. Mathar, Jul 10 2013

CROSSREFS

Sequence in context: A080348 A096396 A029662 * A069862 A075002 A228917

Adjacent sequences:  A077910 A077911 A077912 * A077914 A077915 A077916

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Nov 17 2002

STATUS

approved

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Last modified June 19 13:11 EDT 2019. Contains 324222 sequences. (Running on oeis4.)