|
| |
|
|
A003300
|
|
Denominators of coefficients of Green function for cubic lattice.
(Formerly M5053)
|
|
3
| |
|
|
1, 1, 18, 24, 27216, 5878656, 105815808, 346652587008, 693305174016, 299507835174912, 102431679629819904, 75255927891296256, 451535567347777536, 422637291037519773696, 479270688036547423371264
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
REFERENCES
| G. S. Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. Soc., 273 (1972), 583-610.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
|
FORMULA
| 36*n*(n+1)*(2n+1)*A003299(n+1)/a(n+1)-4*n*(20*n^2+1)*A003299(n)/a(n)+(2*n-1)^3*A003299(n-1)/a(n-1)=0 - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005
|
|
|
MAPLE
| print(1) ; Dnminus1 := 1 : print(denom(Dnminus1)) ; Dn := 7/18 : print(denom(Dn)) ; for nplus1 from 3 to 20 do n := nplus1-1 : Dnplus1 := (4*n*(20*n^2+1)*Dn-(2*n-1)^3*Dnminus1)/(36*n*nplus1*(2*n+1)) : print(denom(Dnplus1)) ; Dnminus1 := Dn : Dn := Dnplus1 : od : (Mathar)
|
|
|
CROSSREFS
| Cf. A003299.
Sequence in context: A109144 A166471 A072422 * A084379 A109769 A093018
Adjacent sequences: A003297 A003298 A003299 * A003301 A003302 A003303
|
|
|
KEYWORD
| nonn,easy,frac
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005
|
| |
|
|
