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 A138210 G.f.: A(x) = 1 + x*(1 + x*(1 + x*(...(1 + x*(...)^(-2n) )...)^-6)^-4)^-2. 2
 1, 1, -2, 11, -96, 1137, -16972, 305653, -6449876, 156135481, -4266372138, 129918213186, -4363433172488, 160251326396727, -6389255111157990, 274851082201092530, -12689236310679318864, 625827924636908620381, -32839089116018960634852 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS EXAMPLE G.f.: A(x)=1+x/B(x)^2, B(x)=1+x/C(x)^4, C(x)=1+x/D(x)^6, D(x)=1+x/E(x)^8,... where A(x),B(x),C(x),... are the g.f. of the sequences given below. A=[1,1,-2,11,-96,1137,-16972,305653,-6449876,156135481,...]; B=[1,1,-4,34,-416,6487,-121740,2660394,-66258116,1852007663,...]; C=[1,1,-6,69,-1088,21126,-480360,12432418,-359714328,11490821943,...]; D=[1,1,-8,116,-2240,52130,-1395592,41877192,-1385795096,50020840015,...]; E=[1,1,-10,175,-4000,108575,-3348372,114475615,-4273407500,...]; F=[1,1,-12,246,-6496,201537,-7039284,270347826,-11252124732,...]; ... PROG (PARI) {a(n)=local(A=1+x+x*O(x^n)); for(j=0, n-1, A=1+x*A^(-2*(n-j))); polcoeff(A, n)} CROSSREFS Cf. A121587, A138212, A138209, A138208. Sequence in context: A131407 A197994 A186273 * A136344 A055680 A166909 Adjacent sequences:  A138207 A138208 A138209 * A138211 A138212 A138213 KEYWORD sign AUTHOR Paul D. Hanna, Mar 06 2008 STATUS approved

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