41824

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=44A000931
• For n = 0, 1, 2, a(n) = n; thereafter, a(n) = 2*a(n-1) - a(n-2) + a(n-3).at n=20A005314
• Take every 5th term of Padovan sequence A000931, beginning with the fifth term.at n=8A012493
• Pisot sequences E(5,9), P(5,9).at n=16A020713
• Pisot sequences E(7,9), P(7,9).at n=31A020720
• Expansion of (1 - x)/(1 - 3*x + 2*x^2 - x^3).at n=13A052921
• 3-apexes of Omega: numbers k such that Omega(k-3) < Omega(k-2)< Omega(k-1) < Omega(k) > Omega(k+1) > Omega(k+2) > Omega(k+3), where Omega(m) = the number of prime factors of m, counting multiplicity.at n=10A076760
• Expansion of (1 - x)/(1 - x^2 - x^3).at n=46A078027
• Number of n-th generation triangles in the tiling of the hyperbolic plane by triangles with angles {Pi/2, Pi/3, 0}.at n=34A096231
• Expansion of (1+x)^2/((1+x)^2+x^3).at n=22A099529
• 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=40A116585
• Padovan numbers for which the digital root is also a Padovan number.at n=32A117598
• Padovan numbers for which the multiplicative digital root is also a Padovan number.at n=28A117600
• Padovan numbers which can be divided by their digital root.at n=26A117602
• Expansion of (1+x)/(1-x^2+x^3).at n=46A124745
• First differences of Padovan sequence A000931.at n=48A133034
• Even Padovan numbers.at n=19A134720
• Padovan's spiral numbers.at n=39A134816
• a(n) = A000931(n+4) - A010060(n).at n=40A140514
• Spiral of triangles around a hexagon.at n=36A164001