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A088354 G.f. = continued fraction: A(x)=1/(1-x-x/(1-x^2-x^2/(1-x^3-x^3/(1-x^4-x^4/(...))))). 0
1, 2, 4, 10, 24, 60, 150, 376, 944, 2372, 5962, 14988, 37684, 94752, 238252, 599090, 1506440, 3788036, 9525280, 23952020, 60229184, 151450970, 380835368, 957640640, 2408063340, 6055266600, 15226449480, 38288118984, 96278523274, 242100012876, 608779761460, 1530825191912 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..31.

FORMULA

G.f.: 1/Q(0), where Q(k)= 1 - x^(k+1) - x^(k+1)/Q(k+1); (continued fraction). - Sergei N. Gladkovskii, Apr 30 2013

G.f.: T(0)/(1-x), where T(k) = 1 - x^(k+1)/(x^(k+1) - (1-x^(k+1))*(1-x^(k+2))/T(k+1) ); (continued fraction). - Sergei N. Gladkovskii, Oct 14 2013

PROG

(PARI)

N = 66; x = 'x + O('x^N);

Q(k) = if(k>N, 1,  1 - x^(k+1)*( 1 + 1/Q(k+1) ) );

gf = 1/Q(0);

Vec(gf)

/* Joerg Arndt, May 01 2013 */

CROSSREFS

Sequence in context: A038373 A052987 A100087 * A055919 A006575 A230551

Adjacent sequences:  A088351 A088352 A088353 * A088355 A088356 A088357

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Sep 26 2003

EXTENSIONS

Added more terms, Joerg Arndt, May 01 2013

STATUS

approved

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Last modified December 3 20:40 EST 2016. Contains 278745 sequences.