This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A140430 Period 6: repeat [3, 2, 4, 1, 2, 0]. 2
 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Associate to sequence identical to half its p-th differences. Corresponding n-th differences table:     3,   2,   4,   1,   2,   0,   3;    -1,   2,  -3,   1,  -2,   3,  -1;     3,  -5,   4,  -3,   5,  -4,   3;    -8,   9,  -7,   8,  -9,   7,  -8;    17, -16,  15, -17,  16, -15,  17;   -33,  31, -32,  33, -31,  32, -33;    64, -63,  65, -64,  63, -65,  64; Note that the main diagonal is 3 followed by A000079(n+1). Note also the southeast diagonal 4, 1, 5, 7, 17 is 4 followed by A014551(n+1). Note also 3*A001045(n+1), one signed and one unsigned, in two southeast diagonals. Starting from second line, the first column is A130750 signed. Starting from second line, the second column is A130752 signed. Starting from second line, the third column is A130755 signed. LINKS Index entries for linear recurrences with constant coefficients, signature (1,0,-1,1). FORMULA a(n) = (1/30)*(-11*(n mod 6)+14*((n+1) mod 6)-((n+2) mod 6)+19*((n+3) mod 6)-6*((n+4) mod 6)+3*((n+5) mod 6)). - Paolo P. Lava, Jul 03 2008 From Wesley Ivan Hurt, Aug 29 2014: (Start) G.f.: (3-x+2*x^2)/((1-x)*(1+x^3)). a(n) = a(n-1)-a(n-3)+a(n-4); a(n) = 2 + ((-n-2) mod 3) * (-1)^n. (End) a(n) = (6 + 3*cos(n*Pi) + 2*sqrt(3)*sin(n*Pi/3))/3. - Wesley Ivan Hurt, Jun 20 2016 MAPLE A140430:=n->2+((-n-2) mod 3)*(-1)^n: seq(A140430(n), n=0..100); # Wesley Ivan Hurt, Aug 29 2014 MATHEMATICA CoefficientList[Series[(3 - x + 2 x^2)/((1 - x)*(1 + x^3)), {x, 0, 30}], x] (* Wesley Ivan Hurt, Aug 29 2014 *) PROG (PARI) a(n)=[3, 2, 4, 1, 2, 0][n%6+1] \\ Charles R Greathouse IV, Jun 02 2011 (MAGMA) [2 + ((-n-2) mod 3)*(-1)^n : n in [0..100]]; // Wesley Ivan Hurt, Aug 29 2014 CROSSREFS Cf. A000079 (2^n), A001045 (Jacobsthal), A014551 (Jacobsthal-Lucas). Cf. A130750, A130752, A130755. Sequence in context: A154879 A097673 A226377 * A123359 A121885 A187760 Adjacent sequences:  A140427 A140428 A140429 * A140431 A140432 A140433 KEYWORD nonn,easy AUTHOR Paul Curtz, Jun 25 2008 EXTENSIONS More terms from Wesley Ivan Hurt, Aug 29 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified April 25 12:04 EDT 2019. Contains 322456 sequences. (Running on oeis4.)