Expansion of g.f. A(x) satisfying Sum_{n>=0} (-1)^n * x^n * Product_{k=0..n} (x^k + A(x)) = theta_2(x^(1/2)) / x^(1/8).

A369682

Expansion of g.f. A(x) satisfying Sum_{n>=0} (-1)^n * x^n * Product_{k=0..n} (x^k + A(x)) = theta_2(x^(1/2)) / x^(1/8).

Terms

    a(0) =1a(1) =4a(2) =12a(3) =38a(4) =112a(5) =332a(6) =972a(7) =2818a(8) =8098a(9) =23096a(10) =65418a(11) =184194a(12) =516080a(13) =1440334a(14) =4008442a(15) =11135682a(16) =30912896a(17) =85835538a(18) =238601354a(19) =664447912a(20) =1854592214a(21) =5189848462a(22) =14561237108a(23) =40954656118a(24) =115428662380a(25) =325847049200a(26) =920772219740

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