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A140420 Binomial transform of 0, 1, 1, 7, 7, 31, 31, ..., zero followed by duplicated A083420. 2

%I #8 Jul 28 2015 15:53:39

%S 0,1,3,13,45,151,483,1513,4665,14251,43263,130813,394485,1187551,

%T 3570843,10728913,32219505,96724051,290303223,871171813,2614039725,

%U 7843167751,23531600403,70598995513,211805375145,635432902651

%N Binomial transform of 0, 1, 1, 7, 7, 31, 31, ..., zero followed by duplicated A083420.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (5, -5, -5, 6).

%F a(n+1)-3a(n) = A099430(n).

%F O.g.f.: (3x^2-2x+1)x/((2x-1)(1+x)(3x-1)(1-x)). - _R. J. Mathar_, Jul 10 2008

%F a(n)+a(n+1)=A126644(n). - _R. J. Mathar_, Jul 10 2008

%K nonn

%O 0,3

%A _Paul Curtz_, Jun 18 2008, corrected Jun 23 2008

%E More terms from _R. J. Mathar_, Jul 10 2008

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Last modified April 17 23:23 EDT 2024. Contains 371767 sequences. (Running on oeis4.)