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A275216 Triangle read by rows, coefficients of the q-binomials (Gaussian binomial coefficients). 1
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, 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, 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,23

LINKS

Table of n, a(n) for n=0..97.

NIST Digital Library of Mathematical Functions, Binomial Coefficients. (Release 1.0.11 of 2016-06-08)

Index entries related to Gaussian binomial coefficients.

EXAMPLE

Row 8:

{1},

{1,1,1,1,1,1,1,1},

{1,1,2,2,3,3,4,3,3,2,2,1,1},

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

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

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

{1,1,2,2,3,3,4,3,3,2,2,1,1},

{1,1,1,1,1,1,1,1},

{1}.

MATHEMATICA

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

CROSSREFS

See the link to the index.

Cf. A007318.

Sequence in context: A318672 A055229 A270419 * A062379 A325625 A043288

Adjacent sequences:  A275213 A275214 A275215 * A275217 A275218 A275219

KEYWORD

nonn,tabf

AUTHOR

Peter Luschny, Jul 23 2016

STATUS

approved

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Last modified May 26 16:07 EDT 2019. Contains 323597 sequences. (Running on oeis4.)