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 A003284 Numerators of coefficients of Green function for cubic lattice. (Formerly M4777) 2
 1, 1, 11, 19, 7861, 301259, 451526509, 6427914623, 16794274237, 12896029408223, 395798985324353, 30839190064680907, 164178854787337441961, 104746805369703910637, 30345665255129739404489 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS G. S. Joyce, On the simple cubic lattice Green function, Phil. Trans. Roy. Soc., 273 (1972), 583-610. FORMULA Recurrence for the fraction A003284(n)/A003298(n) is the same as for A003299(n)/A003300(n). - R. J. Mathar, Dec 08 2005 36*n*(n+1)*(2n+1)*a(n+1)/A003298(n+1)-4*n*(20*n^2+1)*a(n)/A003298(n)+(2*n-1)^3*a(n-1)/A003298(n-1)=0. - R. J. Mathar, Dec 08 2005 MAPLE Dnminus1 := 1 : print(numer(Dnminus1)) ; Dn := 1/18 : print(numer(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(numer(Dnplus1)) ; Dnminus1 := Dn : Dn := Dnplus1 : od : # R. J. Mathar, Dec 08 2005 CROSSREFS Cf. A003298. Sequence in context: A129908 A129909 A174976 * A257401 A283903 A063589 Adjacent sequences:  A003281 A003282 A003283 * A003285 A003286 A003287 KEYWORD nonn,easy,frac AUTHOR EXTENSIONS More terms from R. J. Mathar, Dec 08 2005 STATUS approved

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Last modified October 21 13:24 EDT 2019. Contains 328299 sequences. (Running on oeis4.)