1822473

Appears in sequences

• Narayana's cows sequence: a(0) = a(1) = a(2) = 1; thereafter a(n) = a(n-1) + a(n-3).at n=39A000930
• Pisot sequence P(4,6).at n=34A048625
• Pisot sequence P(6,9).at n=33A048626
• Expansion of (1-x)^2/(1 - 4*x + 3*x^2 - x^3).at n=13A052544
• Number of ways to tile a 2 X n room with 1 X 2 Tatami mats. At most 3 Tatami mats may meet at a point.at n=38A068921
• a(n) = a(n-1) + a(n-3) for n >= 3, with a(0) = 1, a(1) = a(2) = 0. This recurrence can also be used to define a(n) for n < 0.at n=42A078012
• a(n) = n-1, if n <= 2, otherwise A107458(n-1) + A107458(n-2).at n=44A135851
• a(0) = 0, a(1) = 1, a(2) = 2; for n > 2, a(n) = a(n-1) + 2*a(n-2) + a(n-3).at n=20A141015
• a(n) = Sum_{k=1..n} b(k)*a(n - k) for n >= 1, where b(n) = b(n-2) + b(n-3) for n >= 3 with b(0) = 0 and b(1) = b(2) = 1.at n=20A141683
• 1 followed by A141015.at n=21A142474
• INVERT transform of [1, 0, 1, 3, 9, 27, 81, ...].at n=14A204200
• Number of compositions (ordered partitions) of n into divisors of n that are at most sqrt(n).at n=39A327766
• Number of compositions (ordered partitions) of n into divisors of n that are smaller than sqrt(n).at n=39A357312