Search: id:A003280
Results 1-1 of 1 results found.

%I A003280 M4664
%S A003280 1,9,175,2025,102235,1356047,37160123,6771931925,772428184055,
%T A003280 189690563847015,105217453376898775,1548913291275244825,
%U A003280 2112565685454158552975,1658173107161491979625
%N A003280 Numerators of coefficients of Green function for cubic lattice.
%D A003280 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A003280 G. S. Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. 
               Soc., 273 (1972), 583-610.
%H A003280 Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 18 2008, <a href="b003280.txt">
               Table of n, a(n) for n = 0..23</a>
%F A003280 Let B0(n) be the sequence of rational numbers defined by the recurrence: 
               16n(n+1)(2n+1)B0(n+1)-n(60n^2+9)B0(n)+3(2n-1)^3B0(n-1)+(n-1)(2n-1)(2n-3)B0(n-2)=0 
               n>=1 with B0(0)=1 and B0(1)=9/32. Then a(n) is the numerator of B0(n) 
               - Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 18 2008
%o A003280 (PARI) B0=vector(100);B0[3]=1;B0[4]=9/32;print1("1,9,");for(n=2,30,B0[n+3]=((n-1)*(60*(n-1)^2+9)*B0[n+2]-3*(2\
               *n-3)^3*B0[n+1]-(n-2)*(2*n-3)*(2*n-5)*B0[n])/(16*(n-1)*n*(2*n-1));
               print1(numerator(B0[n+3])",")) - Herman Jamke (hermanjamke(AT)fastmail.fm), 
               Feb 18 2008
%Y A003280 Sequence in context: A049212 A141441 A027956 this_sequence A141359 A141363 
               A157774
%Y A003280 Adjacent sequences: A003277 A003278 A003279 this_sequence A003281 A003282 
               A003283
%K A003280 nonn,easy,frac
%O A003280 0,2
%A A003280 N. J. A. Sloane (njas(AT)research.att.com).
%E A003280 More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 18 2008

Search completed in 0.001 seconds