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A326591
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Sum of the eighth largest parts of the partitions of n into 10 parts.
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10
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 7, 11, 15, 23, 32, 46, 61, 85, 112, 151, 197, 261, 335, 437, 554, 710, 891, 1125, 1398, 1747, 2151, 2657, 3246, 3972, 4812, 5840, 7023, 8455, 10104, 12076, 14339, 17029, 20102, 23724, 27857, 32694, 38190, 44588
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OFFSET
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0,13
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LINKS
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FORMULA
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a(n) = Sum_{r=1..floor(n/10)} Sum_{q=r..floor((n-r)/9)} Sum_{p=q..floor((n-q-r)/8)} Sum_{o=p..floor((n-p-q-r)/7)} Sum_{m=o..floor((n-o-p-q-r)/6)} Sum_{l=m..floor((n-m-o-p-q-r)/5)} Sum_{k=l..floor((n-l-m-o-p-q-r)/4)} Sum_{j=k..floor((n-k-l-m-o-p-q-r)/3)} Sum_{i=j..floor((n-j-k-l-m-o-p-q-r)/2)} p.
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MATHEMATICA
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Table[Sum[Sum[Sum[Sum[Sum[Sum[Sum[Sum[Sum[p, {i, j, Floor[(n - j - k - l - m - o - p - q - r)/2]}], {j, k, Floor[(n - k - l - m - o - p - q - r)/3]}], {k, l, Floor[(n - l - m - o - p - q - r)/4]}], {l, m, Floor[(n - m - o - p - q - r)/5]}], {m, o, Floor[(n - o - p - q - r)/6]}], {o, p, Floor[(n - p - q - r)/7]}], {p, q, Floor[(n - q - r)/8]}], {q, r, Floor[(n - r)/9]}], {r, Floor[n/10]}], {n, 0, 50}]
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CROSSREFS
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Cf. A026816, A326588, A326589, A326590, A326592, A326593, A326594, A326595, A326596, A326597, A326598.
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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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