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 A109363 a(n) = 4*2^n - 3*n - 5. 3
 -1, 0, 5, 18, 47, 108, 233, 486, 995, 2016, 4061, 8154, 16343, 32724, 65489, 131022, 262091, 524232, 1048517, 2097090, 4194239, 8388540, 16777145, 33554358, 67108787, 134217648, 268435373, 536870826, 1073741735, 2147483556, 4294967201, 8589934494, 17179869083, 34359738264 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS This sequence appears alongside the Eulerian numbers A000295 in the batch of sequences generated by the floretion given in the program code. LINKS Index entries for linear recurrences with constant coefficients, signature (4, -5, 2). FORMULA G.f. (1-4*x)/((2*x-1)*(x-1)^2) a(0)=-1, a(n) = 2*a(n-1) + 3*n - 1. - Vincenzo Librandi, Jan 29 2011 a(0)=-1, a(1)=0, a(2)=5, a(n) = 4*a(n-1) - 5*a(n-2) + 2*a(n-3). - Harvey P. Dale, Jun 13 2011 a(n)-a(n-1) = A036563(n+1). - R. J. Mathar, Jun 18 2019 MAPLE A109363 := proc(n) 4*2^n-3*n-5 ; end proc: seq(A109363(n), n=0..10) ; # R. J. Mathar, Jun 18 2019 MATHEMATICA f[n_]:=4*2^n-3*n-5; f[Range[0, 20]] (* Vladimir Joseph Stephan Orlovsky, Jan 28 2011 *) LinearRecurrence[{4, -5, 2}, {-1, 0, 5}, 20] (* Harvey P. Dale, Jun 13 2011 *) PROG Floretion Algebra Multiplication Program, FAMP Code: 4ibaseisumseq[ - .5'i - .75'j - .5i' - .75j' + .25'ii' + .25'jj' - 1.25'kk' - .25'ik' + .5'jk' - .25'ki' + .5'kj' + .75e]; sumtype: Y[8] = (int)Y[6] - (int)Y[7] + Y[8] + sum (internal program code) CROSSREFS Cf. A000295. Sequence in context: A273566 A217866 A256539 * A218214 A146213 A344311 Adjacent sequences: A109360 A109361 A109362 * A109364 A109365 A109366 KEYWORD easy,sign AUTHOR Creighton Dement, Aug 22 2005 STATUS approved

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Last modified December 5 02:30 EST 2022. Contains 358572 sequences. (Running on oeis4.)