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A003302
Denominators of coefficients of Green function for cubic lattice.
1
1, 9, 81, 8505, 229635, 413343, 531972441, 227988189, 3419822835, 29824274944035, 375785864294841, 307461161695779, 1116569481947829, 660923243352964935, 849758455739526345, 6875395665388507657395
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OFFSET
0,2
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).
LINKS
Table of n, a(n) for n=0..15.
FORMULA
9(n+1)(2n+1)(2n+3)
A003301
(n+1)/a(n+1)-2(2n+1)(10n^2+10n+3)
A003301
(n)/a(n)+4n^3A003301(n-1)/a(n-1) = 0. -
R. J. Mathar
, Dec 08 2005
MAPLE
Dnminus1 := 1 : print(denom(Dnminus1)) ; Dn := 2/9 : print(denom(Dn)) ; for nplus1 from 2 to 20 do n := nplus1-1 : Dnplus1 := (2*(2*n+1)*(10*n^2+10*n+3)*Dn-4*n^3*Dnminus1)/(9*nplus1*(2*n+1)*(2*n+3)) : print(denom(Dnplus1)) ; Dnminus1 := Dn : Dn := Dnplus1 : od : #
R. J. Mathar
CROSSREFS
Cf.
A003301
.
Sequence in context:
A167723
A203107
A168493
*
A053915
A067216
A076088
Adjacent sequences:
A003299
A003300
A003301
*
A003303
A003304
A003305
KEYWORD
nonn
,
easy
,
frac
AUTHOR
N. J. A. Sloane
EXTENSIONS
More terms from
R. J. Mathar
, Dec 08 2005
STATUS
approved