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2, 8, 48, 320, 2176, 14848, 101376, 692224, 4726784, 32276480, 220397568, 1504968704, 10276569088, 70172803072, 479169871872, 3271976550400, 22342453428224, 152563815022592, 1041770892754944, 7113656621858816, 48575085832830976, 331691433687777280
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internal format)
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OFFSET
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0,1
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COMMENTS
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Bhadouria et al. call this the 2-binomial transform of the 2-Lucas numbers.
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LINKS
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FORMULA
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G.f.: 2*( 1-4*x ) / ( 1-8*x+8*x^2 ).
a(n) = ((4-2*sqrt(2))^n+(2*(2+sqrt(2)))^n).
a(n) = 8*a(n-1)-8*a(n-2) for n>1.
(End)
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PROG
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(PARI) Vec(2*(1-4*x)/(1-8*x+8*x^2) + O(x^50)) \\ Colin Barker, Mar 16 2016
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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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STATUS
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approved
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