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 A184898 a(n) = C(2n,n) * (8^n/n!^2) * Product_{k=0..n-1} (8k+1)*(8k+7). 5
 1, 112, 90720, 105100800, 142542960000, 211337613527040, 331831362513530880, 542307255307827609600, 912855634598629193472000, 1571864775032876891607040000, 2755743023914838714304931102720 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA Self-convolution of A184897, where A184897(n) = (8^n/n!^2) * Product_{k=0..n-1} (16k+1)*(16k+7). a(n) ~ sqrt(2-sqrt(2)) * 2^(11*n - 1) / (Pi^(3/2) * n^(3/2)). - Vaclav Kotesovec, Oct 05 2020 EXAMPLE G.f.: A(x) = 1 + 112*x + 90720*x^2 + 105100800*x^3 +... A(x)^(1/2) = 1 + 56*x + 43792*x^2 + 50098048*x^3 +...+ A184897(n)*x^n +... PROG (PARI) {a(n)=(2*n)!/n!^2*(8^n/n!^2)*prod(k=0, n-1, (8*k+1)*(8*k+7))} CROSSREFS Cf. A184897; variants: A184423, A008977, A184892, A001421, A184896. Sequence in context: A304394 A210292 A270146 * A270113 A275052 A180039 Adjacent sequences:  A184895 A184896 A184897 * A184899 A184900 A184901 KEYWORD nonn AUTHOR Paul D. Hanna, Jan 25 2011 STATUS approved

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Last modified June 19 11:52 EDT 2021. Contains 345128 sequences. (Running on oeis4.)