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A003298 Denominators of coefficients of Green function for cubic lattice.
(Formerly M5063)
2
1, 18, 648, 2160, 1399680, 75582720, 149653785600, 2693768140800, 8620058050560, 7913213290414080, 284875678454906880, 25638811060941619200, 155678860762037511782400, 112088779748667008483328 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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..13.

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)*A003284(n+1)/a(n+1)-4n*(20n^2+1)*A003284(n)/a(n)+(2n-1)^3*A003284(n-1)/a(n-1) = 0. - R. J. Mathar, Dec 08 2005

MAPLE

Dnminus1 := 1 : print(denom(Dnminus1)) ; Dn := 1/18 : print(denom(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(denom(Dnplus1)) ; Dnminus1 := Dn : Dn := Dnplus1 : od : # R. J. Mathar

CROSSREFS

Cf. A003284.

Sequence in context: A281559 A166767 A322889 * A049869 A041615 A041612

Adjacent sequences:  A003295 A003296 A003297 * A003299 A003300 A003301

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 January 17 23:15 EST 2019. Contains 319251 sequences. (Running on oeis4.)