|
Search: id:A140825
|
|
|
| A140825 |
|
Numerators of upper right triangle of a(i,j) = Integral_{x=i..i+1} sum_{k=0..j} A048994(j,k)*x^k. |
|
+0
8
|
|
| 1, 1, 3, -1, 5, 23, 1, -1, 9, 55, -19, 11, -19, 251, 1901, 27, -11, 11, -27, 475, 4277, -863, 271, -191, 271, -863, 19087, 198721, 1375, -351, 191, -191, 351, -1375, 36799, 434241, -33953, 7297, -3233, 2497, -3233, 7297, -33953, 1070017, 14097247, 57281, -10625, 3969
(list; table; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
Denominators of the j-th column are A002790(j). Note that the fractions defined by division are not fully reduced to coprime numerator and denominator.
|
|
REFERENCES
|
P. Curtz, Integration .., C.C.S.A.,Arcueil,1969,p.36.
|
|
EXAMPLE
|
The array a(i,j) starts with rows i>=0 and columns j>=0 as
1 1/2 -1/6 1/4 -19/30 9/4 -863/84 1375/24 ...
1 3/2 5/6 -1/4 11/30 -11/12 271/84 -117/8 ...
1 5/2 23/6 9/4 -19/30 11/12 -191/84 191/24 ...
1 7/2 53/6 55/4 251/30 -9/4 271/84 -191/24 ...
1 9/2 95/6 161/4 1901/30 475/12 -863/84 117/8 ...
1 11/2 149/6 351/4 6731/30 4277/12 19087/84 -1375/24 ...
The sequence lists the numerators of the j-th column from row 0 down to row j.
The fractions of the j=5 column, 9/4, -11/12, 11/12, -9/4, 475/12, 4277/12, are listed with a common denominator A002790(5)=12 as 27, -11, 11, -27, 475, 4277.
|
|
CROSSREFS
|
Cf. A140811.
Sequence in context: A073597 A104053 A039512 this_sequence A037280 A133397 A096614
Adjacent sequences: A140822 A140823 A140824 this_sequence A140826 A140827 A140828
|
|
KEYWORD
|
sign,frac,tabl
|
|
AUTHOR
|
Paul Curtz (bpcrtz(AT)free.fr), Jul 17 2008
|
|
EXTENSIONS
|
Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 06 2008
|
|
|
Search completed in 0.002 seconds
|
