OFFSET
0,10
FORMULA
a(n) = Sum_{p=1..floor(n/8)} Sum_{o=p..floor((n-p)/7)} Sum_{m=o..floor((n-o-p)/6)} Sum_{l=m..floor((n-m-o-p)/5)} Sum_{k=l..floor((n-l-m-o-p)/4)} Sum_{j=k..floor((n-k-l-m-o-p)/3)} Sum_{i=j..floor((n-j-k-l-m-o-p)/2)} i * ((i-1) mod 2) + j * ((j-1) mod 2) + k * ((k-1) mod 2) + l * ((l-1) mod 2) + m * ((m-1) mod 2) + o * ((o-1) mod 2) + p * ((p-1) mod 2) + (n-i-j-k-l-m-o-p) * ((n-i-j-k-l-m-o-p-1) mod 2).
MATHEMATICA
Table[Total[Select[Flatten[IntegerPartitions[n, {8}]], EvenQ]], {n, 0, 50}] (* Harvey P. Dale, Aug 20 2023 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, Aug 10 2019
STATUS
approved