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A093833 3^n-Jacobsthal(n). 3

%I #7 Jun 13 2015 00:51:20

%S 1,2,8,24,76,232,708,2144,6476,19512,58708,176464,530076,1591592,

%T 4777508,14337984,43024876,129096472,387333108,1162086704,3486434876,

%U 10459654152,31379661508,94140382624,282423944076,847277424632

%N 3^n-Jacobsthal(n).

%C Binomial transform of A052992. Binomial transform is A093834. Partial sums are A004054. Sums of consecutive pairs yield A053581.

%C Contribution from _Johannes W. Meijer_, Aug 15 2010: (Start)

%C An elephant sequence, see A175654. For the corner squares four A[5] vectors, with decimal values 343, 349, 373 and 469, lead to this sequence. For the central square these vectors lead to the companion sequence A175659.

%C (End)

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (4,-1,-6)

%F G.f.: (1-x)^2/((1+x)(1-2x)(1-3x)); a(n)=3^n-2^n/3+(-1)^n/3; a(n)=3^n-A001045(n).

%K easy,nonn

%O 0,2

%A _Paul Barry_, Apr 17 2004

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Last modified April 24 17:29 EDT 2024. Contains 371962 sequences. (Running on oeis4.)