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Inverse binomial transform of A181586.
0

%I #16 Jun 13 2015 00:53:13

%S 0,0,1,-3,7,-13,23,-41,79,-161,335,-689,1391,-2769,5487,-10897,21743,

%T -43537,87279,-174865,349935,-699665,1398511,-2795793,5590767,

%U -11182353,22367983,-44740881,89485039,-178966801,357920495,-715821329,1431629551,-2863272209,5726596847

%N Inverse binomial transform of A181586.

%C A181586(n) and successive differences:

%C 0, 0, 1, 0, 1, 2,

%C 0, 1, -1, 1, 1, 3,

%C 1, -2, 2, 0, 2, 0,

%C -3, 4, -2, 2, -2, 6,

%C 7, -6, 4, -4, 8, -4,

%C -13, 10, -8, 12, -12, 12.

%C First column is a(n).

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (-3,-2,2,4).

%F a(n+2)=( (2*a(n)+A077950(n)) signed)

%F a(n)-a(n-1) = (-1)^n*A000749(n+2).

%F G.f. -x^2 / ( (x-1)*(2*x+1)*(2*x^2+2*x+1) ). - R. J. Mathar, Feb 06 2011

%K sign,easy

%O 0,4

%A _Paul Curtz_, Jan 31 2011

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Last modified September 20 22:16 EDT 2024. Contains 376078 sequences. (Running on oeis4.)