|
|
A069071
|
|
a(n) = (2n+1) * ((2n+1)^4 + 4).
|
|
1
|
|
|
5, 255, 3145, 16835, 59085, 161095, 371345, 759435, 1419925, 2476175, 4084185, 6436435, 9765725, 14349015, 20511265, 28629275, 39135525, 52522015, 69344105, 90224355, 115856365, 147008615, 184528305, 229345195, 282475445, 345025455, 418195705, 503284595, 601692285
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
COMMENTS
|
The formula for Pi in the formula section was discovered by the mathematician and astronomer Nilakantha Somayaji (1444-1544) (Roy, 1990). - Amiram Eldar, Jan 18 2023
|
|
LINKS
|
|
|
FORMULA
|
Pi = 16 * Sum_{n>=0} (-1)^n/a(n).
|
|
MATHEMATICA
|
a[n_] := (2*n + 1)*((2*n + 1)^4 + 4); Array[a, 30, 0] (* Amiram Eldar, Jul 16 2022 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|