A093833 3^n-Jacobsthal(n).

1, 2, 8, 24, 76, 232, 708, 2144, 6476, 19512, 58708, 176464, 530076, 1591592, 4777508, 14337984, 43024876, 129096472, 387333108, 1162086704, 3486434876, 10459654152, 31379661508, 94140382624, 282423944076, 847277424632

Offset

0,2

Comments

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

Contribution from Johannes W. Meijer, Aug 15 2010: (Start)

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.

(End)

Links

Table of n, a(n) for n=0..25.

Index entries for linear recurrences with constant coefficients, signature (4,-1,-6)

Formula

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).

Crossrefs

Sequence in context: A066973 A130495 A026070 * A228404 A006952 A327550

Adjacent sequences: A093830 A093831 A093832 * A093834 A093835 A093836

Keyword

easy,nonn

Author

Paul Barry, Apr 17 2004

Status

approved