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A326472 Sum of the second largest parts of the partitions of n into 9 parts. 9
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 5, 10, 15, 27, 39, 63, 91, 135, 188, 272, 368, 510, 682, 918, 1201, 1586, 2039, 2639, 3354, 4264, 5346, 6716, 8319, 10312, 12657, 15516, 18858, 22908, 27599, 33226, 39740, 47449, 56338, 66809, 78792, 92799, 108810, 127365 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,12

LINKS

Table of n, a(n) for n=0..49.

Index entries for sequences related to partitions

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)} i.

a(n) = A326464(n) - A326465(n) - A326466(n) - A326467(n) - A326468(n) - A326469(n) - A326470(n) - A326471(n) - A326473(n).

MATHEMATICA

Table[Sum[Sum[Sum[Sum[Sum[Sum[Sum[Sum[i, {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}]

CROSSREFS

Cf. A026815, A326464, A326465, A326466, A326467, A326468, A326469, A326470, A326471, A326473.

Sequence in context: A308932 A308997 A045513 * A326597 A008337 A077285

Adjacent sequences:  A326469 A326470 A326471 * A326473 A326474 A326475

KEYWORD

nonn

AUTHOR

Wesley Ivan Hurt, Jul 10 2019

STATUS

approved

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Last modified April 9 02:12 EDT 2020. Contains 333339 sequences. (Running on oeis4.)