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%I #9 Mar 14 2024 14:01:59
%S 1,1,3,7,11,31,43,127,171,511,683,2047,2731,8191,10923,32767,43691,
%T 131071,174763,524287,699051,2097151,2796203,8388607,11184811,
%U 33554431,44739243,134217727,178956971,536870911,715827883,2147483647,2863311531
%N Interlaces A007583 with A083420.
%C Floretion Algebra Multiplication Program, FAMP Code: minseq[A*B] with A = + .25'i + .25i' + .25'ii' + .25'jj' + .25'kk' + .25'jk' + .25'kj' + .25e and B = + 'i + 'j - 2'k (apart from initial term and signs)
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,5,0,-4).
%F a(n) = 5*a(n-2) - 4*a(n-4); a(n) = (5*2^n+(-2)^n-8*(-1)^n-4)/12; g.f. (1+x-2*x^2+2*x^3)/((x-1)*(2*x+1)*(2*x-1)*(x+1))
%Y Cf. A007583, A083420, A001045.
%K easy,nonn
%O 0,3
%A _Creighton Dement_, Aug 30 2007
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