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A308994
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Sum of the fifth largest parts in the partitions of n into 8 parts.
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8
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0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 8, 13, 19, 29, 40, 58, 79, 111, 148, 201, 264, 349, 449, 583, 739, 943, 1181, 1482, 1833, 2273, 2780, 3405, 4126, 5002, 6006, 7215, 8593, 10235, 12101, 14300, 16795, 19713, 23003, 26825, 31124, 36083, 41638, 48012
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OFFSET
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0,11
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LINKS
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FORMULA
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a(n) = Sum_{p=1..floor(n/8)} Sum_{o=p..floor((n-p)/7)} Sum_{m=o..floor((n-o-p)/6)} Sum_{l=m..floor((n-m-o-p)/5)} Sum_{k=l..floor((n-l-m-o-p)/4)} Sum_{j=k..floor((n-k-l-m-o-p)/3)} Sum_{i=j..floor((n-j-k-l-m-o-p)/2)} l.
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MATHEMATICA
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Table[Sum[Sum[Sum[Sum[Sum[Sum[Sum[l, {i, j, Floor[(n - j - k - l - m - o - p)/2]}], {j, k, Floor[(n - k - l - m - o - p)/3]}], {k, l, Floor[(n - l - m - o - p)/4]}], {l, m, Floor[(n - m - o - p)/5]}], {m, o, Floor[(n - o - p)/6]}], {o, p, Floor[(n - p)/7]}], {p, Floor[n/8]}], {n, 0, 50}]
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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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