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

Author

Paul Barry, Apr 17 2004

Keywords

• easy
• nonn

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

• 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).