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A320377 Number of parts in all partitions of n with largest multiplicity seven. 2
7, 0, 8, 8, 17, 17, 36, 43, 74, 85, 136, 167, 254, 308, 437, 550, 754, 944, 1270, 1581, 2088, 2588, 3356, 4160, 5326, 6568, 8306, 10217, 12776, 15634, 19413, 23644, 29134, 35360, 43250, 52285, 63599, 76547, 92608, 111079, 133705, 159774, 191477, 228012, 272104 (list; graph; refs; listen; history; text; internal format)
OFFSET
7,1
LINKS
FORMULA
a(n) ~ 3^(5/4) * log(2) * exp(Pi*sqrt(7*n/3)/2) / (2^(3/2) * 7^(1/4) * Pi * n^(1/4)). - Vaclav Kotesovec, Oct 25 2018
MAPLE
b:= proc(n, i, k) option remember; `if`(n=0, [1, 0], `if`(i<1, 0,
add((l->l+[0, l[1]*j])(b(n-i*j, i-1, k)), j=0..min(n/i, k))))
end:
a:= n-> (k-> (b(n$2, k)-b(n$2, k-1))[2])(7):
seq(a(n), n=7..50);
CROSSREFS
Column k=7 of A213177.
Sequence in context: A190410 A283881 A178308 * A213186 A296482 A272429
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Oct 11 2018
STATUS
approved

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Last modified May 18 15:02 EDT 2024. Contains 372641 sequences. (Running on oeis4.)