OFFSET
0,3
COMMENTS
Mirror image of A038243. - Zerinvary Lajos, Nov 25 2007
T(n,k) equals the number of n-length words on {0,1,...,5} having n-k zeros. - Milan Janjic, Jul 24 2015
LINKS
Alois P. Heinz, Rows n = 0..140, flattened
FORMULA
G.f.: 1 / [1 - x(1+5y)].
T(n,k) = 5^k*C(n,k) = Sum_{i=n-k..n} C(i,n-k) *C(n,i) *4^(n-i). Row sums are 6^n = A000400(n). - Mircea Merca, Apr 28 2012
MAPLE
T:= n-> (p-> seq(coeff(p, x, k), k=0..n))((1+5*x)^n):
seq(T(n), n=0..10); # Alois P. Heinz, Jun 10 2014
MATHEMATICA
row[n_] := CoefficientList[(1 + 5x)^n, x]; Table[row[n], {n, 0, 9}] // Flatten (* Jean-François Alcover, Feb 13 2016 *)
CROSSREFS
KEYWORD
AUTHOR
STATUS
approved