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A176635
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a(n) = 6*a(n-1)-8*a(n-2) for n > 1; a(0) = 57, a(1) = 242.
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6
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57, 242, 996, 4040, 16272, 65312, 261696, 1047680, 4192512, 16773632, 67101696, 268421120, 1073713152, 4294909952, 17179754496, 68719247360, 274877448192, 1099510710272, 4398044676096, 17592182374400, 70368736837632
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OFFSET
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0,1
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COMMENTS
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Related to Reverse and Add trajectory of 77 in base 2: a(n) = A075253(4*n+3)/12, i.e., one twelfth of fourth quadrisection of A075253.
Second binomial transform of 57 followed by 128*A000079.
Third binomial transform of A176636.
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LINKS
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FORMULA
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a(n) = 64*4^n-7*2^n.
G.f.: (57-100*x)/((1-2*x)*(1-4*x)).
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MATHEMATICA
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CoefficientList[Series[(57 - 100 x)/((1 - 2 x) (1 - 4 x)), {x, 0, 40}], x] (* Vincenzo Librandi, Sep 24 2013 *)
LinearRecurrence[{6, -8}, {57, 242}, 30] (* Harvey P. Dale, Jun 08 2016 *)
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PROG
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(PARI) {m=21; v=concat([57, 242], vector(m-2)); for(n=3, m, v[n]=6*v[n-1]-8*v[n-2]); v}
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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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