cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A275216 Triangle read by rows, coefficients of the q-binomials (Gaussian binomial coefficients).

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%I A275216 #17 Mar 11 2023 05:38:37
%S A275216 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,
%T A275216 1,1,1,1,2,2,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,
%U A275216 2,2,1,1,1,1,2,3,3,3,3,2,1,1,1,1,2,2,3,2,2,1,1,1,1,1,1,1,1,1
%N A275216 Triangle read by rows, coefficients of the q-binomials (Gaussian binomial coefficients).
%H A275216 Seiichi Manyama, <a href="/A275216/b275216.txt">Rows n = 0..21, flattened</a>
%H A275216 NIST Digital Library of Mathematical Functions, <a href="http://dlmf.nist.gov/17.2#E27">Binomial Coefficients</a>. (Release 1.0.11 of 2016-06-08)
%H A275216 <a href="/index/Ga#Gaussian_binomial_coefficients">Index entries related to Gaussian binomial coefficients</a>.
%e A275216 Row 8:
%e A275216 {1},
%e A275216 {1,1,1,1,1,1,1,1},
%e A275216 {1,1,2,2,3,3,4,3,3,2,2,1,1},
%e A275216 {1,1,2,3,4,5,6,6,6,6,5,4,3,2,1,1},
%e A275216 {1,1,2,3,5,5,7,7,8,7,7,5,5,3,2,1,1},
%e A275216 {1,1,2,3,4,5,6,6,6,6,5,4,3,2,1,1},
%e A275216 {1,1,2,2,3,3,4,3,3,2,2,1,1},
%e A275216 {1,1,1,1,1,1,1,1},
%e A275216 {1}.
%t A275216 QPascalRow[n_] := Table[CoefficientList[QBinomial[n,k,q] // FunctionExpand, q], {k,0,n}]; Table[QPascalRow[n],{n,0,7}] // Flatten
%Y A275216 See the link to the index.
%Y A275216 Cf. A007318, A083906.
%K A275216 nonn,look,tabf
%O A275216 0,23
%A A275216 _Peter Luschny_, Jul 23 2016