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A138209 G.f.: A(x) = 1 + x*(1 + x*(1 + x*(...(1 + x*(...)^(-3n) )...)^-9)^-6)^-3. 2
1, 1, -3, 24, -307, 5367, -118836, 3185098, -100249284, 3625011513, -148109085520, 6748573217802, -339316619619180, 18662532511884138, -1114624766173882896, 71841450181505629686, -4970296376217834343751, 367389368833834570991097 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

EXAMPLE

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,...]; ...

PROG

(PARI) {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)}

CROSSREFS

Cf. A121587, A138213, A138210, A138208.

Sequence in context: A128572 A052592 A059381 * A075142 A138428 A047056

Adjacent sequences:  A138206 A138207 A138208 * A138210 A138211 A138212

KEYWORD

sign

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Mar 06 2008

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Last modified February 15 07:11 EST 2012. Contains 205696 sequences.