1,2

Herman Jamke (hermanjamke(AT)fastmail.fm), Apr 19 2008, Table of n, a(n) for n = 1..20

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

a:=5+2*sqrt(6): b:=5-2*sqrt(6): s:=n->a^n+b^n: d:=n->sqrt(6)*(a^n-b^n):for n from 0 to 40 do x:=simplify(s(n)-1/4*d(n)): y:=simplify(1/3*d(n)-s(n)/2): if(type((1+x/2)/3, integer) and type((1+y)/4, integer)) then printf("%d, ", (y^2-1)/8) fi: x:=simplify(s(n+1)+1/4*d(n+1)): y:=simplify(1/3*d(n+1)+s(n+1)/2): if(type((1+x/2)/3, integer) and type((1+y)/4, integer)) then printf("%d, ", (y^2-1)/8) fi: od: - Herman Jamke (hermanjamke(AT)fastmail.fm), Apr 19 2008

Cf. A046190, A046191.

Adjacent sequences: A046189 A046190 A046191 this_sequence A046193 A046194 A046195

Sequence in context: A151600 A015630 A045307 this_sequence A031868 A110846 A071519

nonn

Eric Weisstein (eric(AT)weisstein.com)

More terms from Larry Reeves (larryr(AT)acm.org), May 07 2001

One more term from Lior Manor (lior.manor(AT)gmail.com) Feb 13 2002

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Apr 19 2008