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A089671
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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,3).
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0
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0, 8, 539, 16632, 364042, 6510160, 101817234, 1447146512, 19144522160, 239513659776, 2865559784050, 33052451375152, 369790434398988, 4031805422883680, 42996629236138928, 449821323139340160, 4627609615665499456, 46907404618252667392, 469254490696475078130
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