|
Search: id:A126119
|
|
|
| A126119 |
|
Numerators of sequence of fractions with e.g.f. (1+x)/(1-x)^(3/2). |
|
+0
3
|
|
| 1, 5, 27, 195, 1785, 19845, 259875, 3918915, 66891825, 1274998725, 26843892075, 618718975875, 15495473018025, 419010239773125, 12167108660581875, 377607284571391875, 12473420957563190625, 436953531082636693125, 16179945969799083346875, 631461179013117650071875
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Denominators are successive powers of 2.
|
|
FORMULA
|
E.g.f.: (1+2*x)/(1-2*x)^(3/2)
|
|
EXAMPLE
|
The fractions are 1, 5/2, 27/4, 195/8, 1785/16, 19845/32, 259875/64, ...
|
|
PROGRAM
|
(PARI) {a(n)= if(n<0, 0, n!* polcoeff( (1+2*x)/ (1-2*x +x*O(x^n))^(3/2), n))} /* Michael Somos Apr 08 2007 */
|
|
CROSSREFS
|
Cf. A001174, A126115.
Sequence in context: A109963 A091101 A023811 this_sequence A105631 A167019 A135627
Adjacent sequences: A126116 A126117 A126118 this_sequence A126120 A126121 A126122
|
|
KEYWORD
|
nonn,frac
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Mar 22 2007
|
|
|
Search completed in 0.002 seconds
|
