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 A158935 a(n)= -3a(n-1)-3a(n-2)-2a(n-3), n>3. a(0)=4, a(1)=4, a(2)=-5, a(3)=4. 1
 4, 4, -5, 4, -5, 13, -32, 67, -131, 256, -509, 1021, -2048, 4099, -8195, 16384, -32765, 65533, -131072, 262147, -524291, 1048576, -2097149, 4194301, -8388608, 16777219, -33554435, 67108864, -134217725, 268435453, -536870912, 1073741827, -2147483651 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The third column of the array of differences described in A153130. The first two columns are in A158916 and A158987. Taking differences like in A158926 keeps the recurrence. Also the inverse binomial transform of A153130 if the first two items of A153130 are omitted. LINKS Index entries for linear recurrences with constant coefficients, signature (-3, -3, -2). FORMULA a(n)= A154589(n) + A099838(n+2). G.f.: (4+16*x+19*x^2+9*x^3)/((2*x+1)*(1+x+x^2)). - R. J. Mathar, Apr 08 2009 a(n)=(1/2)*I*sqrt(3)*[ -(1/2)+(1/2)*I*sqrt(3)]^(n-2)-(3/2)*[ -(1/2)-(1/2)*I*sqrt(3)]^(n-2)-(3/2)*[ -(1/2)+(1/2)*I*sqrt(3)]^(n-2)-2*(-2)^(n-2)-(1/2)*I*sqrt(3)*[ -(1/2)-(1/2)*I*sqrt(3)]^(n-2)+(9/2)*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 15 2009] MATHEMATICA Join[{4}, LinearRecurrence[{-3, -3, -2}, {4, -5, 4}, 50]] (* Harvey P. Dale, May 25 2011 *) CROSSREFS Sequence in context: A161758 A046566 A046593 * A226446 A158086 A195783 Adjacent sequences:  A158932 A158933 A158934 * A158936 A158937 A158938 KEYWORD sign,easy AUTHOR Paul Curtz, Mar 31 2009 EXTENSIONS Partially edited and extended by R. J. Mathar, Apr 08 2009 Edited by N. J. A. Sloane, Apr 08 2009 STATUS approved

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Last modified July 25 16:03 EDT 2021. Contains 346291 sequences. (Running on oeis4.)