|
Search: id:A129194
|
|
|
| A129194 |
|
a(n)=n^2*(3/4-(-1)^n/4). |
|
+0
4
|
|
| 0, 1, 2, 9, 8, 25, 18, 49, 32, 81, 50, 121, 72, 169, 98, 225, 128, 289, 162, 361, 200, 441, 242, 529, 288, 625, 338, 729, 392, 841, 450, 961, 512, 1089, 578, 1225, 648, 1369, 722
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
The numerator of the integral is 2,1,2,1,2,1....; the moments of the integral are 2/(n+1)^2.
|
|
FORMULA
|
G.f.: x(1+2x+6x^2+2x^3+x^4)/(1-x^2)^3; a(n+1)=denominator((1/(2*pi))*int(exp(i*n*t)(-((pi-t)/i)^2),t,0,2*pi)), i=sqrt(-1);
|
|
CROSSREFS
|
Mix A001105, A016754. Cf. A016742, A010713, A105398, A152020, A000290, A061038, A061040, .., A061050,.. . [From Paul Curtz (bpcrtz(AT)free.fr), Nov 21 2008]
Sequence in context: A155909 A069815 A162954 this_sequence A092270 A121067 A073904
Adjacent sequences: A129191 A129192 A129193 this_sequence A129195 A129196 A129197
|
|
KEYWORD
|
easy,frac,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Apr 02 2007
|
|
|
Search completed in 0.002 seconds
|
