|
Search: id:A048998
|
|
|
| A048998 |
|
Triangle giving coefficients of (n+1)!*B_n(x), where B_n(x) is a Bernoulli polynomial. |
|
+0
6
|
|
| 1, -1, 2, 1, -6, 6, 0, 12, -36, 24, -4, 0, 120, -240, 120, 0, -120, 0, 1200, -1800, 720, 120, 0, -2520, 0, 12600, -15120, 5040, 0, 6720, 0, -47040, 0, 141120, -141120, 40320, -12096, 0, 241920, 0, -846720, 0, 1693440, -1451520, 362880
(list; table; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
REFERENCES
|
I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products, 5th ed., Section 9.62.
|
|
LINKS
|
T. D. Noe, Rows n=0..50 of triangle, flattened
Index entries for sequences related to Bernoulli numbers.
|
|
FORMULA
|
t*exp(xt)/(exp(t)-1) = Sum_{n >= 0} B_n(x)*t^n/n!.
|
|
EXAMPLE
|
B_0(x)=1; B_1(x)=x-1/2; B_2(x)=x^2-x+1/6; B_3(x)=x^3-3*x^2/2+x/2; B_4(x)=x^4-2*x^3+x^2-1/30; ...
1; -1,2; 1,-6,6; 0,12,-36,24; ...
|
|
CROSSREFS
|
Cf. A048999.
Sequence in context: A114852 A095132 A028940 this_sequence A133314 A049019 A046651
Adjacent sequences: A048995 A048996 A048997 this_sequence A048999 A049000 A049001
|
|
KEYWORD
|
sign,easy,nice,tabl
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
