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A092808 Pair reversal of Jacobsthal numbers. 5


%S 1,0,3,1,11,5,43,21,171,85,683,341,2731,1365,10923,5461,43691,21845,

%T 174763,87381,699051,349525,2796203,1398101,11184811,5592405,44739243,

%U 22369621,178956971,89478485,715827883,357913941,2863311531,1431655765

%N Pair reversal of Jacobsthal numbers.

%C a(2n)=A001045(2n+1); a(2n+1)=A001045(2n) a(2n+2)=a(2n)+2*4^n; a(2n+3)=a(2n+1)+4^n.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (-1,4,4).

%F G.f.: (1+x-x^2)/((1+x)(1-2x)(1+2x)); E.g.f.: exp(-2x)/4+5exp(2x)/12+exp(-x)/3=cosh(2x)/2+exp(2x)/6+exp(-x)/3; a(n)=(-2)^n/4+5*2^n/12+(-1)^n/3.

%K easy,nonn

%O 0,3

%A _Paul Barry_, Mar 10 2004

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Last modified November 27 07:28 EST 2021. Contains 349365 sequences. (Running on oeis4.)