A138208 -id:A138208 - cp's OEIS frontend

A138209 G.f.: A(x) = 1 + x(1 + x(1 + x(...(1 + x(...)^(-3n) )...)^-9)^-6)^-3.

1, 1, -3, 24, -307, 5367, -118836, 3185098, -100249284, 3625011513, -148109085520, 6748573217802, -339316619619180, 18662532511884138, -1114624766173882896, 71841450181505629686, -4970296376217834343751, 367389368833834570991097

Offset: 0

Paul D. Hanna, Mar 06 2008

sign

			G.f.: A(x)=1+x/B(x)^3, B(x)=1+x/C(x)^6, C(x)=1+x/D(x)^9, D(x)=1+x/E(x)^12, ...
where A(x),B(x),C(x),... are the g.f. of the sequences given below.
A=[1,1,-3,24,-307,5367,-118836,3185098,-100249284,...];
B=[1,1,-6,75,-1352,31167,-867294,28172631,-1044977994,...];
C=[1,1,-9,153,-3567,102591,-3461832,133195605,-5737614804,...];
D=[1,1,-12,258,-7384,254955,-10139508,452535442,-22298633472,...];
E=[1,1,-15,390,-13235,533700,-24472908,1245207030,-69239330640,...];
F=[1,1,-18,549,-21552,994392,-51685074,2955896076,-183324843810,...]; ...

Cf. A121587, A138213, A138210, A138208.

{a(n)=local(A=1+x+x*O(x^n)); for(j=0, n-1, A=1+x*A^(-3*(n-j))); polcoeff(A, n)}

A138210 G.f.: A(x) = 1 + x(1 + x(1 + x(...(1 + x(...)^(-2n) )...)^-6)^-4)^-2.

Original entry on oeis.org

1, 1, -2, 11, -96, 1137, -16972, 305653, -6449876, 156135481, -4266372138, 129918213186, -4363433172488, 160251326396727, -6389255111157990, 274851082201092530, -12689236310679318864, 625827924636908620381, -32839089116018960634852

Offset: 0

Paul D. Hanna, Mar 06 2008

sign

			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,...]; ...

Cf. A121587, A138212, A138209, A138208.

{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)}

cp's OEIS Frontend

A138209 G.f.: A(x) = 1 + x(1 + x(1 + x(...(1 + x(...)^(-3n) )...)^-9)^-6)^-3.

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A138210 G.f.: A(x) = 1 + x(1 + x(1 + x(...(1 + x(...)^(-2n) )...)^-6)^-4)^-2.

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cp's OEIS Frontend

A138209 G.f.: A(x) = 1 + x*(1 + x*(1 + x*(...(1 + x*(...)^(-3n) )...)^-9)^-6)^-3.

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A138210 G.f.: A(x) = 1 + x*(1 + x*(1 + x*(...(1 + x*(...)^(-2n) )...)^-6)^-4)^-2.

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PARI

A138209 G.f.: A(x) = 1 + x(1 + x(1 + x(...(1 + x(...)^(-3n) )...)^-9)^-6)^-3.

A138210 G.f.: A(x) = 1 + x(1 + x(1 + x(...(1 + x(...)^(-2n) )...)^-6)^-4)^-2.