73396
domain: N
Appears in sequences
- Padovan sequence (or Padovan numbers): a(n) = a(n-2) + a(n-3) with a(0) = 1, a(1) = a(2) = 0.at n=46A000931
- For n = 0, 1, 2, a(n) = n; thereafter, a(n) = 2*a(n-1) - a(n-2) + a(n-3).at n=21A005314
- Pisot sequences E(3,7), P(3,7).at n=12A010912
- Take every 5th term of Padovan sequence A000931, beginning with the second term.at n=9A012781
- Pisot sequences E(5,9), P(5,9).at n=17A020713
- Pisot sequences E(7,9), P(7,9).at n=33A020720
- Expansion of (1 - x)/(1 - x^2 - x^3).at n=48A078027
- Length of lists created by n substitutions k -> Range[0,1+Mod[k+1,3]] starting with {0}.at n=10A084084
- a(n+3) = 3*a(n+2) - 2*a(n+1) + a(n).at n=13A095263
- Number of n-th generation triangles in the tiling of the hyperbolic plane by triangles with angles {Pi/2, Pi/3, 0}.at n=36A096231
- a(n)=the sum of the (1,2)- and (1,3)-entries of the matrix P^n + T^n, where the 3 X 3 matrices P and T are defined by P=[0,1,0;0,0,1;1,0,0] and T=[0,1,0;0,0,1;1,1,0].at n=42A109524
- Padovan numbers for which the sum of the digits is also a Padovan number.at n=15A117597
- Padovan numbers for which the digital root is also a Padovan number.at n=34A117598
- Padovan numbers for which the multiplicative digital root is also a Padovan number.at n=30A117600
- Padovan numbers which can be divided by their digital root.at n=28A117602
- Expansion of (1+x)/(1-x^2+x^3).at n=48A124745
- First differences of Padovan sequence A000931.at n=50A133034
- Even Padovan numbers.at n=20A134720
- Padovan's spiral numbers.at n=41A134816
- Spiral of triangles around a hexagon.at n=38A164001