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A273983
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a(n) = ((4*n)!! - (4*n-1)!!)/(4*n+1).
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3
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1, 31, 2745, 487935, 145769625, 65830256415, 41892106080825, 35736278004165375, 39370290736153001625, 54420772423242699849375, 92234193751998833171261625, 188098544080793843475953349375, 454418941572893462364414856265625, 1283429428883663190972186961851609375
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OFFSET
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1,2
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COMMENTS
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Sequence is inspired by A273889. The same argument in A273889 can be used here to prove the expression evaluates to integers.
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LINKS
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PROG
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(Python)
doublefac=lambda x:1 if x<2 else x*doublefac(x-2)
for i in range(200):
print(i, (doublefac(4*i)-doublefac(4*i-1))//(4*i+1))
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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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