170625

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=49A000931
• a(0) = 0, a(1) = a(2) = a(3) = 1; thereafter, a(n) = a(n-1) + a(n-2) + a(n-4).at n=24A005251
• Number of rooted toroidal maps with 2 faces and n vertices and without separating cycles or isthmuses.at n=11A006422
• Pisot sequences E(4,7), P(4,7).at n=19A010901
• Pisot sequences E(3,7), P(3,7).at n=13A010912
• Take every 5th term of Padovan sequence A000931, beginning with the fifth term.at n=9A012493
• Pisot sequences E(7,9), P(7,9).at n=36A020720
• Expansion of (1 - x)/(1 - x^2 - x^3).at n=51A078027
• Numbers n which when converted to base 8, reversed and converted back to base 10 yield a number m such that n mod m = 0. Cases which are trivial or result in digit loss are excluded.at n=12A091082
• a(n+3) = 3*a(n+2) - 2*a(n+1) + a(n).at n=14A095263
• Number of n-th generation triangles in the tiling of the hyperbolic plane by triangles with angles {Pi/2, Pi/3, 0}.at n=39A096231
• 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=45A109524
• Partial sums of cupolar numbers (1/3)*(n+1)*(5*n^2+7*n+3) (A096000).at n=24A117066
• Padovan numbers for which the sum of the digits is also a Padovan number.at n=16A117597
• Padovan numbers for which the digital root is also a Padovan number.at n=37A117598
• Padovan numbers for which the product of the digits is also a Padovan number.at n=20A117599
• Padovan numbers for which the multiplicative digital root is also a Padovan number.at n=32A117600
• Padovan numbers which are divisible by the sum of their digits.at n=15A117601
• Padovan numbers which can be divided by their digital root.at n=29A117602
• Numbers k such that k^12 + 4094 is prime.at n=0A126894