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A014994
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a(n) = (1 - (-12)^n)/13.
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13
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1, -11, 133, -1595, 19141, -229691, 2756293, -33075515, 396906181, -4762874171, 57154490053, -685853880635, 8230246567621, -98762958811451, 1185155505737413, -14221866068848955, 170662392826187461
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OFFSET
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1,2
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COMMENTS
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q-integers for q=-12.
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LINKS
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FORMULA
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a(n) = a(n-1) + q^(n-1) = (q^n - 1) / (q - 1).
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MAPLE
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a:=n->sum ((-12)^j, j=0..n): seq(a(n), n=0..25); # Zerinvary Lajos, Dec 16 2008
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MATHEMATICA
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PROG
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(Sage) [gaussian_binomial(n, 1, -12) for n in range(1, 18)] # Zerinvary Lajos, May 28 2009
(Magma) I:=[1, -11]; [n le 2 select I[n] else -11*Self(n-1)+12*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Oct 22 2012
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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