17991
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=41A000931
- a(0) = 0, a(1) = a(2) = a(3) = 1; thereafter, a(n) = a(n-1) + a(n-2) + a(n-4).at n=20A005251
- Pisot sequences E(4,7), P(4,7).at n=15A010901
- Take every 5th term of Padovan sequence A000931, beginning with the second term.at n=8A012781
- Pisot sequences E(7,9), P(7,9).at n=28A020720
- Dirichlet convolution of Fibonacci numbers with Primes (with 1).at n=21A034746
- Expansion of (1 - x)/(1 - 3*x + 2*x^2 - x^3).at n=12A052921
- Numbers k such that sigma(k-3) + sigma(k+3) = sigma(2*k).at n=20A067129
- Expansion of (1 - x)/(1 - x^2 - x^3).at n=43A078027
- Number of n-th generation triangles in the tiling of the hyperbolic plane by triangles with angles {Pi/2, Pi/3, 0}.at n=31A096231
- Padovan sequence for indices of the Beatty sequence of the tribonacci constant.at n=20A108168
- n*(1+3*n+6*n^2)/2.at n=18A115519
- An interleaving of three sequences: a(3n) = A000045(3n) = A014445(n). a(3n+1) = A000931(3n+5) = A052921(n). a(3n+2) = A003269(3n-1).at n=37A116585
- Padovan numbers for which the digital root is also a Padovan number.at n=29A117598
- Padovan numbers for which the multiplicative digital root is also a Padovan number.at n=26A117600
- Padovan numbers which can be divided by their digital root.at n=23A117602
- Padovan numbers with only odd digits.at n=9A117996
- First differences of Padovan sequence A000931.at n=45A133034
- Odd Padovan numbers.at n=23A134719
- Padovan's spiral numbers.at n=36A134816