Search: id:A046192
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%I A046192
%S A046192 1,11781,113123361,1086210502741,10429793134197921,
%T A046192 100146872588357936901,961610260163619775927681,
%U A046192 9233381617944204500099658261,88658929333889991446337142696641
%N A046192 Octagonal hexagonal numbers.
%H A046192 Herman Jamke (hermanjamke(AT)fastmail.fm), Apr 19 2008, <a href="b046192.txt">
               Table of n, a(n) for n = 1..20</a>
%H A046192 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               OctagonalHexagonalNumber.html">Link to a section of The World of 
               Mathematics.</a>
%p A046192 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
%Y A046192 Cf. A046190, A046191.
%Y A046192 Sequence in context: A151600 A015630 A045307 this_sequence A031868 A110846 
               A071519
%Y A046192 Adjacent sequences: A046189 A046190 A046191 this_sequence A046193 A046194 
               A046195
%K A046192 nonn
%O A046192 1,2
%A A046192 Eric Weisstein (eric(AT)weisstein.com)
%E A046192 More terms from Larry Reeves (larryr(AT)acm.org), May 07 2001
%E A046192 One more term from Lior Manor (lior.manor(AT)gmail.com) Feb 13 2002
%E A046192 More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Apr 19 2008

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