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 A152832 a(0) = -2; a(n) = n - a(n-1) for n > 0. 13
 -2, 3, -1, 4, 0, 5, 1, 6, 2, 7, 3, 8, 4, 9, 5, 10, 6, 11, 7, 12, 8, 13, 9, 14, 10, 15, 11, 16, 12, 17, 13, 18, 14, 19, 15, 20, 16, 21, 17, 22, 18, 23, 19, 24, 20, 25, 21, 26, 22, 27, 23, 28, 24, 29, 25, 30, 26, 31, 27, 32, 28, 33, 29, 34, 30, 35, 31, 36, 32, 37, 33, 38, 34, 39, 35 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Index entries for linear recurrences with constant coefficients, signature (1,1,-1). FORMULA From R. J. Mathar, Jan 03 2009, Aug 14 2009: (Start) a(n) = (n+1)/2-(9*(-1)^n+1)/4. G.f.: -(2*x-1)*(x-2)/((1+x)*(x-1)^2). a(n) = a(n-1)+a(n-2)-a(n-3). (End) MATHEMATICA lst={}; a=2; Do[a=n-a; AppendTo[lst, a], {n, 0, 6!}]; lst RecurrenceTable[{a[0]==-2, a[n]==n-a[n-1]}, a, {n, 80}] (* or *) With[ {nn=40}, Riffle[ Range[-2, nn-2], Range[3, nn+3]]] (* Harvey P. Dale, Jun 02 2019 *) CROSSREFS Cf. A084964 Sequence in context: A127412 A304791 A306646 * A211343 A039661 A293668 Adjacent sequences:  A152829 A152830 A152831 * A152833 A152834 A152835 KEYWORD sign AUTHOR Vladimir Joseph Stephan Orlovsky, Dec 14 2008 EXTENSIONS Definition corrected by N. J. A. Sloane, Jan 11 2009 Formula adapted to offset by R. J. Mathar, Aug 14 2009 STATUS approved

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Last modified April 18 18:57 EDT 2021. Contains 343089 sequences. (Running on oeis4.)