|
Search: id:A093801
|
|
|
| A093801 |
|
b(n)*integral_{x=0 to 1/(4^n)} 1-sqrt(x) dx, with b(n)=3*24^n. |
|
+0
1
|
|
| 1, 12, 90, 594, 3726, 22842, 138510, 835434, 5025726, 30193722, 181280430, 1088036874, 6529284126, 39178893402, 235082926350, 1410526255914, 8463243628926, 50779720053882, 304679095164270, 1828076895508554, 10968468346620126
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
The integral is 1/4^n-1/(3*2^(3n-1)). - R. J. Mathar, Nov 24 2008
|
|
FORMULA
|
a(n)=3*6^n-2*3^n. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 24 2008
a(n)=9*a(n-1)-18*a(n-2), n>1 ; a(0)=1, a(1)=12 . G.f.: (1+3*x)/(1-9*x+18*x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 26 2008]
|
|
EXAMPLE
|
Integral(n=3)=594/41472. b(3)=41472
|
|
CROSSREFS
|
Sequence in context: A090749 A130592 A002544 this_sequence A135173 A114860 A001502
Adjacent sequences: A093798 A093799 A093800 this_sequence A093802 A093803 A093804
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Al Hakanson (hawkuu(AT)excite.com), May 18 2004
|
|
EXTENSIONS
|
Changed offset to 0. Adapted definition to the fact that these are not reduced numerators of the integral. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 24 2008
|
|
|
Search completed in 0.002 seconds
|
