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A015133
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Triangle of (Gaussian) q-binomial coefficients for q=-15.
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14
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1, 1, 1, 1, -14, 1, 1, 211, 211, 1, 1, -3164, 47686, -3164, 1, 1, 47461, 10726186, 10726186, 47461, 1, 1, -711914, 2413439311, -36190151564, 2413439311, -711914, 1, 1, 10678711, 543023133061, 122144174967811, 122144174967811, 543023133061
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OFFSET
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0,5
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LINKS
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FORMULA
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As a triangle, T(n, k) = Product_{i=1..k} ((-15)^(n-i+1)-1)/((-15)^i-1), with 0 <= k <= n = 0,1,2,... - M. F. Hasler, Nov 05 2012
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PROG
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(PARI) A015133(n, r, q=-13)=prod(i=1, r, (q^(1+n-i+r)-1)/(q^i-1)) \\ (Indexing is that of the square array: n, r=0, 1, 2, ...) - M. F. Hasler, Nov 03 2012
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CROSSREFS
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Cf. analog triangles for other negative q=-2,...,-15: A015109 (q=-2), A015110 (q=-3), A015112 (q=-4), A015113 (q=-5), A015116 (q=-6), A015117 (q=-7), A015118 (q=-8), A015121 (q=-9), A015123 (q=-10), A015124 (q=-11), A015125 (q=-12), A015129 (q=-13), A015132 (q=-14). - M. F. Hasler, Nov 04 2012
Cf. analog triangles for positive q=2,...,24: A022166 (q=2), A022167 (q=3), A022168, A022169, A022170, A022171, A022172, A022173, A022174 (q=10), A022175, A022176, A022177, A022178, A022179, A022180, A022181, A022182, A022183, A022184 (q=20), A022185, A022186, A022187, A022188. - M. F. Hasler, Nov 05 2012
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KEYWORD
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AUTHOR
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STATUS
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approved
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