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A026740
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a(n) = 2^n*(2^n - 1)*(2^n - 2)/6.
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1
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0, 0, 4, 56, 560, 4960, 41664, 341376, 2763520, 22238720, 178433024, 1429559296, 11444858880, 91592417280, 732873539584, 5863525154816, 46910348656640, 375291379056640, 3002365391929344, 24019060573863936, 192153034345676800, 1537226473786572800
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = binomial(2^n, 3).
a(n) = 14*a(n-1) - 56*a(n-2) + 64*a(n-3) for n>=3. - Harvey P. Dale, Jun 20 2012
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MAPLE
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MATHEMATICA
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Binomial[2^Range[0, 20], 3] (* or *) LinearRecurrence[{14, -56, 64}, {0, 0, 4}, 21] (* Harvey P. Dale, Jun 20 2012 *)
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PROG
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(PARI) vector(20, n, binomial(2^(n-1), 6) ) \\ G. C. Greubel, Oct 26 2019
(Sage) [binomial(2^n, 6) for n in (0..20)] # G. C. Greubel, Oct 26 2019
(GAP) List([0..20], n-> Binomial(2^n, 3) ); # G. C. Greubel, Oct 26 2019
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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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