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 A326465 Sum of the smallest parts of the partitions of n into 9 parts. 9
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 7, 11, 15, 22, 31, 42, 56, 76, 99, 130, 168, 216, 274, 349, 435, 544, 674, 831, 1017, 1244, 1507, 1823, 2194, 2629, 3136, 3734, 4420, 5223, 6148, 7215, 8438, 9851, 11453, 13292, 15382, 17758, 20447, 23502, 26935 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,12 LINKS FORMULA a(n) = Sum_{q=1..floor(n/9)} Sum_{p=q..floor((n-q)/8)} Sum_{o=p..floor((n-p-q)/7)} Sum_{m=o..floor((n-o-p-q)/6)} Sum_{l=m..floor((n-m-o-p-q)/5)} Sum_{k=l..floor((n-l-m-o-p-q)/4)} Sum_{j=k..floor((n-k-l-m-o-p-q)/3)} Sum_{i=j..floor((n-j-k-l-m-o-p-q)/2)} q. a(n) = A326464(n) - A326466(n) - A326467(n) - A326468(n) - A326469(n) - A326470(n) - A326471(n) - A326472(n) - A326473(n). MATHEMATICA Table[Sum[Sum[Sum[Sum[Sum[Sum[Sum[Sum[q, {i, j, Floor[(n - j - k - l - m - o - p - q)/2]}], {j, k, Floor[(n - k - l - m - o - p - q)/3]}], {k, l, Floor[(n - l - m - o - p - q)/4]}], {l, m, Floor[(n - m - o - p - q)/5]}], {m, o, Floor[(n - o - p - q)/6]}], {o, p, Floor[(n - p - q)/7]}], {p, q, Floor[(n - q)/8]}], {q, Floor[n/9]}], {n, 0, 50}] Table[Total[Last/@IntegerPartitions[n, {9}]], {n, 0, 60}] (* Harvey P. Dale, Sep 13 2019 *) CROSSREFS Cf. A026815, A326464, A326466, A326467, A326468, A326469, A326470, A326471, A326472, A326473. Sequence in context: A091584 A091582 A241727 * A101977 A024793 A326590 Adjacent sequences:  A326462 A326463 A326464 * A326466 A326467 A326468 KEYWORD nonn AUTHOR Wesley Ivan Hurt, Jul 07 2019 STATUS approved

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Last modified April 9 20:55 EDT 2020. Contains 333363 sequences. (Running on oeis4.)