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Search: id:A003300
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| A003300 |
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Denominators of coefficients of Green function for cubic lattice.
(Formerly M5053)
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+0
4
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| 1, 1, 18, 24, 27216, 5878656, 105815808, 346652587008, 693305174016, 299507835174912, 102431679629819904, 75255927891296256, 451535567347777536, 422637291037519773696, 479270688036547423371264
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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G. S. Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. Soc., 273 (1972), 583-610.
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FORMULA
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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
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MAPLE
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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)
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CROSSREFS
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Cf. A003299.
Sequence in context: A125261 A109144 A072422 this_sequence A084379 A109769 A093018
Adjacent sequences: A003297 A003298 A003299 this_sequence A003301 A003302 A003303
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KEYWORD
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nonn,easy,frac
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AUTHOR
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njas
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005
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