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A217946
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4^n*(n+1)*(8*n^2+32*n+33)*P(3/2,n)/(3*P(4,n)) where P(a,n) is the Pochhammer rising factorial.
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1
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11, 73, 387, 1876, 8670, 38907, 171171, 742456, 3186378, 13562770, 57352526, 241234488, 1010195420, 4214583135, 17527709475, 72695369520, 300782736210, 1241908383870, 5118246664410, 21058891783800, 86518038936420, 354975217564110, 1454668818567822, 5954594437631376, 24350248227272100, 99484144007729572
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OFFSET
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0,1
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LINKS
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FORMULA
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(n+1)^2*(n+4)*(8*n^2+32*n+33)*a(n+1) = 2*(2*n+3)*(n+2)*(8*n^2+48*n+73)*a(n).
G.f.: (3-x)/(2*x^3) - (3-19*x+24*x^2-16*x^3)/(2*(1-4*x)^(3/2)*x^3). (End)
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MAPLE
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f:= n -> 4^n*(n+1)*(8*n^2+32*n+33)*pochhammer(3/2, n)/(3*pochhammer(4, n)):
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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