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A002797
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Number of solutions to a linear inequality.
(Formerly M1360 N0524)
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1
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3, 2, 5, 9, 17, 27, 40, 55, 73, 94, 117, 143, 171, 203, 236, 273, 311, 354, 397, 445, 493, 547, 600, 659, 717, 782, 845, 915, 983, 1059, 1132, 1213, 1291, 1378, 1461, 1553, 1641, 1739, 1832, 1935, 2033, 2142, 2245, 2359, 2467, 2587, 2700
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OFFSET
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0,1
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REFERENCES
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N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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FORMULA
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a(n) = a(n-1) + a(n-2) - a(n-3) + a(n-4) - a(n-5) - a(n-6) + a(n-7). - Sean A. Irvine, Aug 20 2014
G.f.: -(5*x^6+7*x^5+2*x^4+5*x^3-x+3)/((x^2+1)*(x+1)^2*(x-1)^3). - Alois P. Heinz, Aug 20 2014
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PROG
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(PARI) Vec(-(5*x^6+7*x^5+2*x^4+5*x^3-x+3)/((x^2+1)*(x+1)^2*(x-1)^3) + O(x^50)) \\ Michel Marcus, Jan 26 2015
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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Initial term, missing a(9), and more terms from Sean A. Irvine, Aug 20 2014
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STATUS
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approved
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