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A023436
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Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-6).
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3
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0, 1, 1, 2, 3, 5, 8, 12, 19, 29, 45, 69, 106, 163, 250, 384, 589, 904, 1387, 2128, 3265, 5009, 7685, 11790, 18088, 27750, 42573, 65314, 100202, 153726, 235840, 361816, 555083, 851585, 1306466, 2004325, 3074951
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OFFSET
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0,4
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COMMENTS
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Diagonal sums of the Riordan array (1/(1-x),x(1+x+x^2+x^3)) yield a(n+1). - Paul Barry, May 10 2005
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LINKS
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FORMULA
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G.f.: x/(1 - x - x^2 + x^6) = x/((1 - x)(1 - x^2 - x^3 - x^4 - x^5)). - Paul Barry, May 10 2005
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MAPLE
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f:= gfun:-rectoproc({a(n)=a(n-1) + a(n-2) - a(n-6), seq(a(i)=0, i=-4..0), a(1)=1}, a(n), 'remember'):
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MATHEMATICA
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LinearRecurrence[{1, 1, 0, 0, 0, -1}, {0, 1, 1, 2, 3, 5}, 40] (* Harvey P. Dale, Dec 21 2014 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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