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A003298
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Denominators of coefficients of Green function for cubic lattice.
(Formerly M5063)
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2
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1, 18, 648, 2160, 1399680, 75582720, 149653785600, 2693768140800, 8620058050560, 7913213290414080, 284875678454906880, 25638811060941619200, 155678860762037511782400, 112088779748667008483328
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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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).
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FORMULA
| Recurrence for the fraction A003284(n)/A003298(n) is the same as for A003299(n)/A003300(n). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005
36*n*(n+1)*(2n+1)*A003284(n+1)/a(n+1)-4n*(20n^2+1)*A003284(n)/a(n)+(2n-1)^3*A003284(n-1)/a(n-1)=0 - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005
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MAPLE
| Dnminus1 := 1 : print(denom(Dnminus1)) ; Dn := 1/18 : print(denom(Dn)) ; for nplus1 from 2 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)
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CROSSREFS
| Cf. A003284.
Sequence in context: A061079 A180822 A166767 * A049869 A041615 A041612
Adjacent sequences: A003295 A003296 A003297 * A003299 A003300 A003301
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KEYWORD
| nonn,easy,frac
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005
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