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A015133 Triangle of (Gaussian) q-binomial coefficients for q=-15. 14


%S 1,1,1,1,-14,1,1,211,211,1,1,-3164,47686,-3164,1,1,47461,10726186,

%T 10726186,47461,1,1,-711914,2413439311,-36190151564,2413439311,

%U -711914,1,1,10678711,543023133061,122144174967811,122144174967811,543023133061

%N Triangle of (Gaussian) q-binomial coefficients for q=-15.

%H <a href="/index/Ga#Gaussian_binomial_coefficients">Index entries related to Gaussian binomial coefficients</a>.

%F 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

%o (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

%Y 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

%Y 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

%K sign,tabl,easy

%O 0,5

%A _Olivier GĂ©rard_

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Last modified December 7 00:36 EST 2019. Contains 329812 sequences. (Running on oeis4.)