login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A275216 Triangle read by rows, coefficients of the q-binomials (Gaussian binomial coefficients). 2

%I #17 Mar 11 2023 05:38:37

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

%H Seiichi Manyama, <a href="/A275216/b275216.txt">Rows n = 0..21, flattened</a>

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

%e Row 8:

%e {1},

%e {1,1,1,1,1,1,1,1},

%e {1,1,2,2,3,3,4,3,3,2,2,1,1},

%e {1,1,2,3,4,5,6,6,6,6,5,4,3,2,1,1},

%e {1,1,2,3,5,5,7,7,8,7,7,5,5,3,2,1,1},

%e {1,1,2,3,4,5,6,6,6,6,5,4,3,2,1,1},

%e {1,1,2,2,3,3,4,3,3,2,2,1,1},

%e {1,1,1,1,1,1,1,1},

%e {1}.

%t QPascalRow[n_] := Table[CoefficientList[QBinomial[n,k,q] // FunctionExpand, q], {k,0,n}]; Table[QPascalRow[n],{n,0,7}] // Flatten

%Y See the link to the index.

%Y Cf. A007318, A083906.

%K nonn,look,tabf

%O 0,23

%A _Peter Luschny_, Jul 23 2016

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 14 05:06 EDT 2024. Contains 374291 sequences. (Running on oeis4.)