|
Search: id:A097114
|
|
|
| A097114 |
|
Expansion of (1+8x-42x^2-392x^3)/(1-99x^2+2450x^4). |
|
+0
1
|
|
| 1, 8, 57, 400, 3193, 20000, 176457, 1000000, 9646393, 50000000, 522673257, 2500000000, 28110989593, 125000000000, 1502438490057, 6250000000000, 79869486012793, 312500000000000, 4226104814626857, 15625000000000000
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
FORMULA
|
G.f. : 8(1+x)/(1-50x^2)-7/(1-49x^2); a(n)=99a(n-2)-2450a(n-4); a(n)=(4+2sqrt(50)/25)(sqrt(50))^n+(4-2sqrt(50)/25)(-sqrt(50))^n-7^(n+1)(1+(-1)^n)/2 a(n)=sum{k=0..n, binomial(floor(n/2), floor(k/2))7^k }.
|
|
CROSSREFS
|
Sequence in context: A108666 A164031 A023000 this_sequence A022038 A015453 A002402
Adjacent sequences: A097111 A097112 A097113 this_sequence A097115 A097116 A097117
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Jul 25 2004
|
|
|
Search completed in 0.002 seconds
|
