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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, Dec 08 2005

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)_

N. J. A. Sloane.

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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

More terms from _R. J. Mathar (mathar(AT)strw.leidenuniv.nl), _, Dec 08 2005

_N. J. A. Sloane (njas(AT)research.att.com)_.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

nonn,easy,frac,new

nonn,easy,frac,new

N. J. A. Sloane (njas(AT)research.att.com).

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 - Richard R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005

nonn,easy,frac,new

More terms from Richard R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005

1, 9, 81, 8505, 229635, 413343, 531972441, 227988189, 3419822835, 29824274944035, 375785864294841, 307461161695779, 1116569481947829, 660923243352964935, 849758455739526345, 6875395665388507657395

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 - Richard J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005

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)

nonn,easy,more,frac,new

More terms from Richard J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005

G . S . Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. Soc., 273 (1972), 583-610.

nonn,easy,more,frac,new

Coefficients Denominators of coefficients of Green function for cubic lattice.

PTRS G S Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. Soc., 273 593 73(1972), 583-610.

Cf. A003301.

,newnonn,easy,more,frac