|
|
A157541
|
|
Half the number of length n integer sequences with sum zero and sum of squares 162.
|
|
1
|
|
|
1, 3, 54, 610, 7575, 124005, 1721692, 21584676, 254430555, 2752913955, 27276416970, 252510790038, 2245919946361, 19423497389310, 163254969718200, 1331429118674408, 10524020807274019, 80607360684092143, 599129356328684230
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
2,2
|
|
LINKS
|
|
|
FORMULA
|
[cache enabling] count(n,s,ss)->count(n,t,tt) where t=s mod n, q=(t-s)/n, tt=ss+2*q*s+n*q^2; count(n,t,tt)=sum[i^2<=tt]{ count(n-1,t-i,tt-i^2) }. a(n)=count(n,0,162)/2.
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|