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A164737
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a(n) = 8*a(n-2) for n > 2; a(1) = 5, a(2) = 12.
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5
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5, 12, 40, 96, 320, 768, 2560, 6144, 20480, 49152, 163840, 393216, 1310720, 3145728, 10485760, 25165824, 83886080, 201326592, 671088640, 1610612736, 5368709120, 12884901888, 42949672960, 103079215104, 343597383680, 824633720832
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OFFSET
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1,1
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COMMENTS
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Binomial transform is A096980 without initial terms 1. Second binomial transform is A164593. Third binomial transform is A101386.
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LINKS
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FORMULA
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a(n) = (13 - 7*(-1)^n)*2^(1/4*(6*n - 11 + 3*(-1)^n)).
G.f.: x*(5 + 12*x)/(1 - 8*x^2).
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MAPLE
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seq(coeff(series( x*(5+12*x)/(1-8*x^2) , x, n+1), x, n), n=1..30); # G. C. Greubel, Apr 16 2020
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MATHEMATICA
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LinearRecurrence[{0, 8}, {5, 12}, 30] (* G. C. Greubel, Apr 16 2020 *)
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PROG
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(Magma) [ n le 2 select 7*n-2 else 8*Self(n-2): n in [1..26] ];
(Sage) [(13 -7*(-1)^n)*2^((6*n -11 +3*(-1)^n)/4) for n in (1..30)] # G. C. Greubel, Apr 16 2020
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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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