|
|
A202141
|
|
a(n) = 13*n^2 - 16*n + 5.
|
|
4
|
|
|
5, 2, 25, 74, 149, 250, 377, 530, 709, 914, 1145, 1402, 1685, 1994, 2329, 2690, 3077, 3490, 3929, 4394, 4885, 5402, 5945, 6514, 7109, 7730, 8377, 9050, 9749, 10474, 11225, 12002, 12805, 13634, 14489, 15370, 16277, 17210, 18169, 19154, 20165, 21202, 22265
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
COMMENTS
|
Numbers of the form (rn-r+1)^2+((r+1)n-r)^2; in this case, r=2.
Inverse binomial transform of this sequence: 5,-3, 26, 0, 0 (0 continued).
|
|
LINKS
|
|
|
FORMULA
|
G.f.: (5-13*x+34*x^2)/(1-x)^3.
|
|
MAPLE
|
|
|
MATHEMATICA
|
Table[13 n^2 - 16 n + 5, {n, 0, 42}]
|
|
PROG
|
(PARI) for(n=0, 42, print1(13*n^2-16*n+5", "));
(Magma) [13*n^2-16*n+5: n in [0..42]];
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|