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A214374 G.f. satisfies: A(x) = 1 + x*A(x)^3*A(-x)*A(I*x)*A(-I*x). 0
1, 1, 2, 5, 14, 77, 272, 954, 3390, 20942, 81886, 313216, 1200192, 7744531, 31604104, 125795060, 500225166, 3302458490, 13797942732, 56190743623, 228422293810, 1529418005565, 6486104136768, 26809045163856, 110586420610480, 747542548312112, 3203080302079898 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..26.

EXAMPLE

G.f.: A(x) = 1 + x + 2*x^2 + 5*x^3 + 14*x^4 + 77*x^5 + 272*x^6 + 954*x^7 +...

Related expansions:

A(x)^2 = 1 + 2*x + 5*x^2 + 14*x^3 + 42*x^4 + 202*x^5 + 779*x^6 + 2900*x^7 +...

A(x)^3 = 1 + 3*x + 9*x^2 + 28*x^3 + 90*x^4 + 402*x^5 + 1631*x^6 + 6372*x^7 +...

A(x)*A(-x) = 1 + 3*x^2 + 22*x^4 + 421*x^6 + 5386*x^8 + 127595*x^10 +...

A(x)*A(-x)*A(I*x)*A(-I*x) = 1 + 35*x^4 + 8730*x^8 + 3122301*x^12 + 1308019950*x^16 + 599139933987*x^20 + 290661820794000*x^24 +...

PROG

(PARI) {a(n)=local(A=1+x+x*O(x^n)); for(i=1, n, A=1+x*A^3*subst(A, x, -x)*subst(A, x, I*x)*subst(A, x, -I*x)); polcoeff(A, n)}

for(n=0, 30, print1(a(n), ", "))

CROSSREFS

Cf. A118968.

Sequence in context: A059958 A102019 A216270 * A284661 A097595 A243979

Adjacent sequences:  A214371 A214372 A214373 * A214375 A214376 A214377

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jul 14 2012

STATUS

approved

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Last modified June 14 15:19 EDT 2021. Contains 345025 sequences. (Running on oeis4.)