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Search: id:A003302
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| A003302 |
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Denominators of coefficients of Green function for cubic lattice.
(Formerly M4655)
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+0
2
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| 1, 9, 81, 8505, 229635, 413343, 531972441, 227988189, 3419822835, 29824274944035, 375785864294841, 307461161695779, 1116569481947829, 660923243352964935, 849758455739526345, 6875395665388507657395
(list; graph; listen)
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OFFSET
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0,2
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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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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 (mathar(AT)strw.leidenuniv.nl), Dec 08 2005
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MAPLE
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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 : (Mathar)
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CROSSREFS
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Cf. A003301.
Adjacent sequences: A003299 A003300 A003301 this_sequence A003303 A003304 A003305
Sequence in context: A061433 A069659 A110853 this_sequence A053915 A067216 A076088
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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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