|
Search: id:A098518
|
|
|
| A098518 |
|
E.g.f. exp(x)BesselI(1,2sqrt(2)x)/sqrt(2). |
|
+0
3
|
|
| 0, 1, 2, 9, 28, 105, 366, 1337, 4824, 17649, 64570, 237545, 875700, 3238105, 11998182, 44550105, 165701168, 617297761, 2302877682, 8602038473, 32168532940, 120425227209, 451253210078, 1692411415161, 6352491269640
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
Binomial transform of e.g.f. BesselI(1,2sqrt(2)x)/sqrt(2), or {0,1,0,6,0,40,0,280,0,2016,0,....} with g.f. 2x/(1-8x^2+sqrt(1-8x^2)). The binomial transform of e.g.f. BesselI(1,2sqrt(r)x)/sqrt(r) with g.f. 2x/(1-(2sqrt(r)x)^2+sqrt(1-(2sqrt(r)x)^2)) has g.f. 2x/(1-2x-((2sqrt(r))^2-1)x^2+(1-x)sqrt(1-2x-((2sqrt(r))^2-1)x^2)).
|
|
FORMULA
|
G.f.: 2x/(1-2x-7x^2+(1-x)sqrt(1-2x-7x^2)); a(n)=sum{k=0..floor(n/2), binomial(n, k)binomial(n-k, k+1)2^k}.
|
|
CROSSREFS
|
Sequence in context: A026087 A109188 A002532 this_sequence A086511 A138912 A002747
Adjacent sequences: A098515 A098516 A098517 this_sequence A098519 A098520 A098521
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Sep 12 2004
|
|
|
Search completed in 0.002 seconds
|
