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Search: id:A003299
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| A003299 |
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Numerators of coefficients of Green function for cubic lattice.
(Formerly M4331)
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+0
4
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| 0, 1, 7, 5, 3635, 557485, 7596391, 19681954039, 32139541115, 11613832153165, 3386240626860905, 2153823021586357, 11330361348611303, 9397464146366084237, 9528720716522267278849, 309116925259099828695359
(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)*(2*n+1)*a(n+1)-4*n*(20*n^2+1)*a(n)+(2*n-1)^3*a(n+1)=0 - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005
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MAPLE
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Dnminus1 := 1 : print(numer(Dnminus1)) ; Dn := 7/18 : print(numer(Dn)) ; n := 2 : 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(numer(Dnplus1)) ; Dnminus1 := Dn : Dn := Dnplus1 : od : (Mathar)
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CROSSREFS
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Cf. A003300.
Sequence in context: A007553 A002019 A012878 this_sequence A100222 A011236 A111508
Adjacent sequences: A003296 A003297 A003298 this_sequence A003300 A003301 A003302
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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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