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A275216
Triangle read by rows, coefficients of the q-binomials (Gaussian binomial coefficients).
2
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
OFFSET
0,23
LINKS
Seiichi Manyama, Rows n = 0..21, flattened
NIST Digital Library of Mathematical Functions, Binomial Coefficients. (Release 1.0.11 of 2016-06-08)
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.
Sequence in context: A367931 A365297 A270419 * A062379 A325625 A043288
KEYWORD
nonn,look,tabf
AUTHOR
Peter Luschny, Jul 23 2016
STATUS
approved