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A003299 Numerators of coefficients of Green function for cubic lattice.
(Formerly M4331)
3
0, 1, 7, 5, 3635, 557485, 7596391, 19681954039, 32139541115, 11613832153165, 3386240626860905, 2153823021586357, 11330361348611303, 9397464146366084237, 9528720716522267278849, 309116925259099828695359 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

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

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

LINKS

Table of n, a(n) for n=0..15.

FORMULA

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, Dec 08 2005

MAPLE

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 : # R. J. Mathar

CROSSREFS

Cf. A003300.

Sequence in context: A300452 A302201 A263171 * A198677 A154017 A100222

Adjacent sequences:  A003296 A003297 A003298 * A003300 A003301 A003302

KEYWORD

nonn,easy,frac

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from R. J. Mathar, Dec 08 2005

STATUS

approved

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Last modified October 19 15:50 EDT 2019. Contains 328223 sequences. (Running on oeis4.)