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Search: id:A143551
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| A143551 |
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G.f. satisfies: A(x) = 1 + x*A(x)^5*A(-x). |
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+0
6
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| 1, 1, 4, 29, 196, 1781, 14000, 139234, 1176340, 12283166, 108258380, 1165438808, 10561185568, 116096795195, 1072964739264, 11975785105572, 112313638368948, 1268177365551626, 12029082865935512, 137067430786661911
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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G.f. satisfies: A(x) + A(-x) = 1 + [A(x)*A(-x)] + x^2*[A(x)*A(-x)]^6.
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EXAMPLE
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G.f. A(x) = 1 + x + 4*x^2 + 29*x^3 + 196*x^4 + 1781*x^5 + 14000*x^6 +...
Related expansions:
A(x)^5 = 1 + 5*x + 30*x^2 + 235*x^3 + 1845*x^4 + 16576*x^5 + 144270*x^6 +...
A(x)*A(-x) = 1 + 7*x^2 + 350*x^4 + 25165*x^6 + 2121330*x^8 +...
[A(x)*A(-x)]^6 = 1 + 42*x^2 + 2835*x^4 + 231350*x^6 +...
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PROGRAM
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(PARI) {a(n)=local(A=1+x*O(x^n)); for(i=0, n, A=1+x*A^5*subst(A, x, -x)); polcoeff(A, n)}
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CROSSREFS
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Cf. A143550, A143552, A143553, A143554.
Sequence in context: A079885 A121191 A129587 this_sequence A100022 A001883 A135429
Adjacent sequences: A143548 A143549 A143550 this_sequence A143552 A143553 A143554
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Aug 24 2008
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