OFFSET
0,3
COMMENTS
Number of ways to tile an n-board (an n X 1 array of 1 X 1 cells) using squares, dominoes, trominoes, tetrominoes, black pentominoes, and white pentominoes.
Row sums of A349841.
LINKS
Index entries for linear recurrences with constant coefficients, signature (1,1,1,1,2).
FORMULA
a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) + 2*a(n-5) + delta(n,0), a(n<0)=0.
a(n) = 2*a(n-1) + a(n-5) - 2*a(n-6) + delta(n,0) - delta(n,1), a(n<0)=0.
G.f.: 1/(1-x-x^2-x^3-x^4-2*x^5).
MATHEMATICA
CoefficientList[Series[(1 - x)/((1 - x^5)(1 - 2x)), {x, 0, 35}], x]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Michael A. Allen, Dec 13 2021
STATUS
approved