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A171473
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a(n) = 6*a(n-1) - 8*a(n-2)-3 for n > 1; a(0) = 35, a(1) = 135.
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12
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35, 135, 527, 2079, 8255, 32895, 131327, 524799, 2098175, 8390655, 33558527, 134225919, 536887295, 2147516415, 8590000127, 34359869439, 137439215615, 549756338175, 2199024304127, 8796095119359, 35184376283135
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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 22 in base 2: A061561(4*n+3) = 3*a(n).
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LINKS
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FORMULA
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a(n) = 32*4^n + 4*2^n - 1.
G.f.: (35-110*x+72*x^2)/((1-x)*(1-2*x)*(1-4*x)).
E.g.f.: exp(x)*(32*exp(3*x) + 4*exp(x) - 1). - Stefano Spezia, Sep 27 2023
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PROG
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(PARI) {m=20; v=concat([35, 135], vector(m-2)); for(n=3, m, v[n]=6*v[n-1]-8*v[n-2]-3); v}
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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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