A077904 Expansion of (1-x)^(-1)/(1+x-2*x^3).

1, 0, 1, 2, -1, 4, 1, -2, 11, -8, 5, 18, -33, 44, -7, -58, 147, -160, 45, 250, -569, 660, -159, -978, 2299, -2616, 661, 3938, -9169, 10492, -2615, -15722, 36707, -41936, 10493, 62922, -146793, 167780, -41935, -251650, 587211, -671080, 167781, 1006642, -2348801, 2684364, -671079, -4026522

Offset

0,4

Links

Table of n, a(n) for n=0..47.

Index entries for linear recurrences with constant coefficients, signature (0,1,2,-2)

Formula

G.f.: G(0)/(2*(1-x^2)*(1-x)), where G(k)= 1 + 1/(1 - x*(k+1)/(x*(k+2) - 1/G(k+1))); (continued fraction). - Sergei N. Gladkovskii, May 25 2013

Mathematica

LinearRecurrence[{0, 1, 2, -2}, {1, 0, 1, 2}, 60] (* Harvey P. Dale, Oct 09 2020 *)

Crossrefs

Sequence in context: A268669 A030652 A224065 * A088964 A326721 A243792

Adjacent sequences: A077901 A077902 A077903 * A077905 A077906 A077907

Keyword

sign,easy

Author

N. J. A. Sloane, Nov 17 2002

Status

approved