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A351740
Total number of parts in all partitions of n into parts of size 1, 5, 10 or 25.
2
0, 1, 2, 3, 4, 6, 8, 10, 12, 14, 19, 23, 27, 31, 35, 44, 50, 56, 62, 68, 83, 92, 101, 110, 119, 141, 154, 167, 180, 193, 226, 244, 262, 280, 298, 343, 367, 391, 415, 439, 500, 531, 562, 593, 624, 702, 741, 780, 819, 858, 959, 1008, 1057, 1106, 1155, 1280, 1340
OFFSET
0,3
LINKS
FORMULA
a(n) = Sum_{k=0..n} k * A351725(n,k).
MAPLE
b:= proc(n, i) option remember; `if`(n=0 or i=1, [1, n], b(n, i-1)+
(p->`if`(p>n, 0, (t->t+[0, t[1]])(b(n-p, i))))([1, 5, 10, 25][i]))
end:
a:= n-> b(n, 4)[2]:
seq(a(n), n=0..100);
CROSSREFS
Sequence in context: A078769 A064375 A037229 * A230374 A007183 A067783
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Feb 17 2022
STATUS
approved