Search: id:A003281
Results 1-1 of 1 results found.

%I A003281 M5137
%S A003281 0,1,23,1477,555273,38466649,1711814393,48275151899,28127429172349,
%T A003281 11820256380127,61330815490787739,1438084556561535649,
%U A003281 3452174145433606905,1300912433743549667989,275638998008835888305243
%N A003281 Numerators of coefficients of Green function for cubic lattice.
%D A003281 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A003281 G. S. Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. 
               Soc., 273 (1972), 583-610.
%H A003281 Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 18 2008, <a href="b003281.txt">
               Table of n, a(n) for n = 0..22</a>
%F A003281 Let B1(n) be the sequence of rational numbers defined by the recurrence: 
               16n(n+1)(2n+1)B1(n+1)-n(60n^2+9)B1(n)+3(2n-1)^3B1(n-1)+(n-1)(2n-1)(2n-3)B1(n-2)=0 
               n>=1 with B1(0)=0 and B1(1)=1. Then a(n) is the numerator of B1(n) 
               - Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 18 2008
%o A003281 (PARI) B1=vector(100);B1[4]=1;print1("0,1,");for(n=2,30,B1[n+3]=((n-1)*(60*(n-1)^2+9)*B1[n+2]-3*(2*n-3)^3*B1[\
               n+1]-(n-2)*(2*n-3)*(2*n-5)*B1[n])/(16*(n-1)*n*(2*n-1));print1(numerator(B1[n+3])",
               ")) - Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 18 2008
%Y A003281 Sequence in context: A061063 A100768 A049003 this_sequence A034243 A002439 
               A132395
%Y A003281 Adjacent sequences: A003278 A003279 A003280 this_sequence A003282 A003283 
               A003284
%K A003281 nonn,easy,frac
%O A003281 0,3
%A A003281 N. J. A. Sloane (njas(AT)research.att.com).
%E A003281 More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 18 2008

Search completed in 0.001 seconds