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A089672
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Let S3 := (n,t)->add( k^t * (add( binomial(n,j), j=0..k))^3, k=0..n); a(n) = S3(n,2).
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0
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0, 8, 1051, 47024, 1343372, 29595904, 549599246, 9039987264, 135800368320, 1901346478080, 25165027679242, 318105020914208, 3870088369412824, 45584244411107584, 522235732874214800, 5840992473138691072, 63970901725419781632, 687749464543749095424, 7273214936974305201570
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