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 A326595 Sum of the fourth largest parts of the partitions of n into 10 parts. 10
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 6, 9, 15, 22, 35, 50, 75, 103, 149, 202, 281, 376, 510, 669, 889, 1149, 1499, 1913, 2453, 3093, 3917, 4886, 6106, 7544, 9330, 11419, 13989, 16979, 20614, 24837, 29912, 35785, 42790, 50857, 60399, 71360, 84233, 98952 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,13 LINKS FORMULA 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)} k. a(n) = A326588(n) - A326589(n) - A326590(n) - A326591(n) - A326592(n) - A326593(n) - A326594(n) - A326596(n) - A326597(n) - A326598(n). MATHEMATICA Table[Sum[Sum[Sum[Sum[Sum[Sum[Sum[Sum[Sum[k, {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}] CROSSREFS Cf. A026816, A326588, A326589, A326590, A326591, A326592, A326593, A326594, A326596, A326597, A326598. Sequence in context: A193197 A308995 A326470 * A217067 A014214 A094993 Adjacent sequences:  A326592 A326593 A326594 * A326596 A326597 A326598 KEYWORD nonn AUTHOR Wesley Ivan Hurt, Jul 13 2019 STATUS approved

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Last modified April 4 20:47 EDT 2020. Contains 333229 sequences. (Running on oeis4.)