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 A116409 Expansion of (1-x-2x^2+sqrt(1-2x-3x^2))/(2(1-x)(1-2x-3x^2)). 3
 1, 2, 5, 13, 36, 102, 294, 855, 2502, 7352, 21670, 64021, 189489, 561680, 1666955, 4952243, 14725010, 43815836, 130462322, 388670993, 1158491411, 3454558976, 10305303341, 30752447207, 91798204811, 274101391202, 818652308999 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums of A116407. Binomial transform of A116406. LINKS FORMULA Conjecture: n*a(n) +2*(-3*n+2)*a(n-1) +2*(4*n-5)*a(n-2) +6*(n-2)*a(n-3) +9*(-n+2)*a(n-4)=0. - R. J. Mathar, Nov 11 2014 a(n) ~ 3^n/4 * (1 + 3*sqrt(3/(Pi*n))/2). - Vaclav Kotesovec, May 30 2016 CROSSREFS Cf. A116410. Sequence in context: A288540 A046171 A022854 * A279196 A002844 A223096 Adjacent sequences:  A116406 A116407 A116408 * A116410 A116411 A116412 KEYWORD easy,nonn AUTHOR Paul Barry, Feb 13 2006 STATUS approved

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Last modified July 20 11:28 EDT 2019. Contains 325180 sequences. (Running on oeis4.)