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A199744
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G.f.: 1/(1 + x + 2*x^2 + 2*x^3 + x^4).
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4
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1, -1, -1, 1, 2, -1, -4, 1, 7, 0, -12, -3, 20, 10, -32, -25, 49, 55, -71, -112, 95, 216, -111, -399, 94, 710, 11, -1220, -316, 2024, 1037, -3233, -2573, 4941, 5634, -7137, -11440, 9505, 22015, -11008, -40592, 9073, 72112, 1934, -123712, -33453, 204897, 107499, -326675, -264664, 498119, 577060
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OFFSET
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0,5
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LINKS
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Table of n, a(n) for n=0..51.
Michael D. Hirschhorn, Non-trivial intertwined second-order recurrence relations, Fibonacci Quart. 43 (2005), no. 4, 316-325. See J_n.
Index entries for linear recurrences with constant coefficients, signature (-1,-2,-2,-1).
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FORMULA
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a(n) = - a(n-1) - 2*a(n-2) - 2*a(n-3) - a(n-4), n > 3. - Iain Fox, Dec 25 2017
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MATHEMATICA
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CoefficientList[Series[1/(1+x+2x^2+2x^3+x^4), {x, 0, 60}], x] (* or *) LinearRecurrence[ {-1, -2, -2, -1}, {1, -1, -1, 1}, 60] (* Harvey P. Dale, Nov 19 2020 *)
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PROG
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(PARI) first(n) = Vec(1/(1 + x + 2*x^2 + 2*x^3 + x^4) + O(x^n)) \\ Iain Fox, Dec 25 2017
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CROSSREFS
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Sequence in context: A108952 A088522 A252751 * A360870 A115124 A115122
Adjacent sequences: A199741 A199742 A199743 * A199745 A199746 A199747
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KEYWORD
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sign,easy
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AUTHOR
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N. J. A. Sloane, Nov 09 2011
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STATUS
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approved
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