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 A060022 Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 3. 8
 1, 0, 1, 0, 0, -1, -1, -3, -3, -5, -6, -8, -9, -12, -13, -16, -18, -21, -23, -27, -29, -33, -36, -40, -43, -48, -51, -56, -60, -65, -69, -75, -79, -85, -90, -96, -101, -108, -113, -120, -126, -133, -139, -147, -153, -161, -168, -176, -183, -192, -199, -208, -216, -225, -233, -243, -251, -261, -270, -280 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 COMMENTS Difference between the number of partitions of n+2 into 2 parts and the number of partitions of n+2 into 3 parts. - Wesley Ivan Hurt, Apr 16 2019 LINKS Colin Barker, Table of n, a(n) for n = 0..1000 P. A. MacMahon, Perpetual reciprocants, Proc. London Math. Soc., 17 (1886), 139-151; Coll. Papers II, pp. 584-596. Index entries for linear recurrences with constant coefficients, signature (1,1,0,-1,-1,1). FORMULA a(n) = A004526(n+2) - A069905(n+2). - Wesley Ivan Hurt, Apr 16 2019 From Colin Barker, Apr 17 2019: (Start) G.f.: (1 - x - x^3) / ((1 - x)^3*(1 + x)*(1 + x + x^2)). a(n) = a(n-1) + a(n-2) - a(n-4) - a(n-5) + a(n-6) for n>5. (End) PROG (PARI) Vec((1 - x - x^3) / ((1 - x)^3*(1 + x)*(1 + x + x^2)) + O(x^40)) \\ Colin Barker, Apr 17 2019 CROSSREFS Cf. A004526, A069905. Cf. For other values of N: this sequence (N=3), A060023 (N=4), A060024 (N=5), A060025 (N=6), A060026 (N=7), A060027 (N=8), A060028 (N=9), A060029 (N=10). Sequence in context: A309947 A138373 A011976 * A187679 A048274 A059892 Adjacent sequences:  A060019 A060020 A060021 * A060023 A060024 A060025 KEYWORD sign,easy AUTHOR N. J. A. Sloane, Mar 17 2001 STATUS approved

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Last modified June 19 03:06 EDT 2021. Contains 345125 sequences. (Running on oeis4.)