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A326467 Sum of the seventh largest parts in the partitions of n into 9 parts. 9
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 7, 11, 16, 24, 34, 47, 64, 88, 117, 157, 206, 271, 349, 451, 572, 727, 914, 1145, 1422, 1764, 2167, 2657, 3237, 3932, 4747, 5720, 6851, 8191, 9744, 11563, 13664, 16115, 18924, 22179, 25904, 30190, 35071, 40666, 47006 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,12

LINKS

Table of n, a(n) for n=0..52.

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)} o.

a(n) = A326464(n) - A326465(n) - A326466(n) - A326468(n) - A326469(n) - A326470(n) - A326471(n) - A326472(n) - A326473(n).

MATHEMATICA

Table[Sum[Sum[Sum[Sum[Sum[Sum[Sum[Sum[o, {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, A326468, A326469, A326470, A326471, A326472, A326473.

Sequence in context: A253062 A117590 A308991 * A326592 A226541 A281578

Adjacent sequences:  A326464 A326465 A326466 * A326468 A326469 A326470

KEYWORD

nonn

AUTHOR

Wesley Ivan Hurt, Jul 10 2019

STATUS

approved

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Last modified May 29 04:33 EDT 2020. Contains 334697 sequences. (Running on oeis4.)