23833

Properties

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=42A000931
• For n = 0, 1, 2, a(n) = n; thereafter, a(n) = 2*a(n-1) - a(n-2) + a(n-3).at n=19A005314
• Take every 5th term of Padovan sequence A000931, beginning with the third term.at n=8A012814
• Pisot sequences E(5,9), P(5,9).at n=15A020713
• Pisot sequences E(7,9), P(7,9).at n=29A020720
• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 11.at n=26A031599
• Zeroless primes that remain prime if any digit is deleted.at n=25A034302
• Binomial transform of Padovan sequence A000931.at n=14A034943
• Primes remaining prime if any digit is deleted (zeros allowed).at n=33A051362
• Smallest value of x such that M(x) = -n, where M(x) is Mertens's function A002321.at n=43A051401
• Primes p such that x^36 = 2 has no solution mod p, but x^12 = 2 has a solution mod p.at n=34A059668
• Expansion of (1 - x)/(1 - x^2 - x^3).at n=44A078027
• Length of lists created by n substitutions k -> Range[0,1+Mod[k+1,3]] starting with {0}.at n=9A084084
• Number of n-th generation triangles in the tiling of the hyperbolic plane by triangles with angles {Pi/2, Pi/3, 0}.at n=32A096231
• Prime Padovan numbers.at n=7A100891
• Padovan numbers for which the digital root is also a Padovan number.at n=30A117598
• Padovan numbers which can be divided by their digital root.at n=24A117602
• Triangular array: T(n,k) = T(n,n) = 1, T(n,k) = 5*T(n-1, k-1) + 2*T(n-1, k), read by rows.at n=47A119727
• Expansion of (1+x)/(1-x^2+x^3).at n=44A124745
• Main diagonal of table of length of English names of numbers.at n=39A129774