|
| |
|
|
A071952
|
|
Diagonal T(n,3) of triangle in A071951.
|
|
4
| |
|
|
1, 40, 1092, 25664, 561104, 11807616, 243248704, 4950550528, 100040447232, 2013177300992, 40412056994816, 810023815790592, 16221871691714560, 324694197936160768, 6496965245491888128, 129976281056339296256
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 4,2
|
|
|
REFERENCES
| W. N. Everitt, L. L. Littlejohn and R. Wellman, Legendre polynomials, Legendre-Stirling numbers and the left-definite spectral analysis of the Legendre differential expression, J. Comput. Appl. Math. 148, 2002, 213-238.
L. L. Littlejohn and R. Wellman, A general left-definite theory for certain self-adjoint operators with applications to differential equations, J. Differential Equations, 181(2), 2002, 280-339.
|
|
|
FORMULA
| a(n+4)= A071951(n+4, 4) = (- 7*2^n + 405*6^n - 2268*12^n + 2500*20^n)/630, n>=0. G.f.: (x^4)/((1-2*1*x)*(1-3*2*x)*(1-4*3*x)*(1-5*4*x)). - Wolfdieter Lang, Nov 07 2003
|
|
|
MATHEMATICA
| Flatten[ Table[ Sum[(-1)^{r + 4}(2r + 1)(r^2 + r)^n/((r + 5)!(4 - r)!), {r, 1, 4}], {n, 4, 20}]]
|
|
|
CROSSREFS
| Cf. A000079, A016129, A015309, A089278, A089500.
Sequence in context: A075907 A062143 A124100 * A144914 A004385 A152257
Adjacent sequences: A071949 A071950 A071951 * A071953 A071954 A071955
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jun 16 2002
|
|
|
EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 19 2002
|
| |
|
|
