%I A105951
%S A105951 3,1,9,25,33,49,129,289,513,961,2049,4225,8193,16129,32769,66049,131073,
%T A105951 261121,524289,1050625,2097153,4190209,8388609,16785409,33554433,
%U A105951 67092481,134217729,268468225,536870913,1073676289,2147483649
%V A105951 -3,1,-9,25,-33,49,-129,289,-513,961,-2049,4225,-8193,16129,-32769,66049,
               -131073,
%W A105951 261121,-524289,1050625,-2097153,4190209,-8388609,16785409,-33554433,67092481,
%X A105951 -134217729,268468225,-536870913,1073676289,-2147483649
%N A105951 a(2n) = -(2^(2n+1) + 1), a(2n+1) = (2^(n+1) - (-1)^n)^2.
%C A105951 This sequence appears to have the property that for m > n: if s divides 
               a(n) and a(m) then s also divides a(2m-n). For example, 11 divides 
               -33 = a(4), 11 divides -32769 = a(14) and 11 divides a(2*14-4) = 
               a(24) = -33554433.
%H A105951 Robert Munafo, <a href="http://www.mrob.com/pub/math/seq-floretion.html">
               Sequences Related to Floretions</a>
%F A105951 G.f. -(3+8*x+18*x^2+16*x^3)/((2*x+1)*(x+1)*(2*x^2+1))
%o A105951 Floretion Algebra Multiplication Program, FAMP Code: 4tesseq[ - .75'i 
               - .75i' - .75'ii' + .25'jj' + .25'kk' + .25'jk' + .25'kj' - .75e]
%Y A105951 Sequence in context: A118793 A160568 A157403 this_sequence A038202 A128415 
               A090479
%Y A105951 Adjacent sequences: A105948 A105949 A105950 this_sequence A105952 A105953 
               A105954
%K A105951 easy,sign
%O A105951 0,1
%A A105951 Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Apr 27 2005