A214374 G.f. satisfies: A(x) = 1 + x*A(x)^3*A(-x)*A(I*x)*A(-I*x).

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

Offset: 0

Author

Paul D. Hanna, Jul 14 2012

Keywords

• nonn

Examples

			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 +...
		

Crossrefs

Cf. A118968.

Programs

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),", "))