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A075129
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Binomial transform of reflected tetranacci numbers A074058: a(n)=Sum((-1)^k Binomial(n,k)*A074058(k),(k=0,..,n)).
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0
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4, 5, 5, 5, 13, 50, 155, 390, 861, 1805, 3850, 8640, 20167, 47520, 110780, 254450, 579149, 1316485, 3003095, 6878765, 15790278, 36245235, 83101760, 190322935, 435678591, 997445500, 2284365660, 5233190405, 11989714652, 27467989310
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n)=5a(n-1)-10a(n-2)+10a(n-3)-3a(n-4), a(0)=4, a(1)=5, a(2)=5, a(3)=5. G.f.: (4 - 15*z + 20*z^2 - 10*z^3)/(1 - 5*z + 10*z^2 - 10*z^3 + 3*z^4).
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MATHEMATICA
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CoefficientList[Series[(4-15*z+20*z^2-10*z^3)/(1-5*z+10*z^2-10*z^3+3*z^4), {z, 0, 30}], z]
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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Mario Catalani (mario.catalani(AT)unito.it), Sep 03 2002
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STATUS
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approved
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