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A024873
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a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers >= 2), t = (Lucas numbers).
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0
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6, 8, 26, 43, 97, 156, 308, 499, 915, 1480, 2598, 4204, 7178, 11614, 19476, 31513, 52219, 84492, 138900, 224745, 367509, 594642, 968924, 1567752, 2548478, 4123524, 6692462, 10828631, 17556405, 28406860, 46023972, 74468351, 120596327, 195128956, 315902914
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OFFSET
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2,1
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LINKS
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Table of n, a(n) for n=2..36.
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FORMULA
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G.f.:(-6+2*x^7+x^6+4*x^5+2*x^4-5*x^3-2*x)/((x^2+x-1)*(x^4+x^2-1)^2) [From Maksym Voznyy (voznyy(AT)mail.ru), Jul 28 2009]
a(0)=6, a(1)=8, a(2)=26, a(3)=43, a(4)=97, a(5)=156, a(6)=308, a(7)=499, a(8)=915, a(9)=1480, a(n)=a(n-1)+3*a(n-2)-2*a(n-3)-a(n-4)-a(n-5)- 3*a(n-6)+2*a(n-7)+a(n-8)+a(n-9)+a(n-10) [From Harvey P. Dale, May 19 2011]
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MATHEMATICA
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LinearRecurrence[{1, 3, -2, -1, -1, -3, 2, 1, 1, 1}, {6, 8, 26, 43, 97, 156, 308, 499, 915, 1480}, 50] (* or *) CoefficientList[ Series[ (-6+2x^7+x^6+4x^5+2x^4- 5x^3-2x)/((x^2+x-1)(x^4+x^2-1)^2), {x, 0, 50}], x] (* From Harvey P. Dale, May 19 2011 *)
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CROSSREFS
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Sequence in context: A155478 A219191 A107366 * A066231 A007829 A000773
Adjacent sequences: A024870 A024871 A024872 * A024874 A024875 A024876
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling
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EXTENSIONS
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More terms from Harvey P. Dale, May 19 2011.
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STATUS
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approved
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