45425

Appears in sequences

• a(n) = 2*a(n-1) + a(n-2) - a(n-3) for n >= 3, starting with a(0) = 1, a(1) = 3, and a(2) = 6.at n=13A006356
• 3-wave sequence starting with 1, 1, 1.at n=28A038196
• Top line of 3-wave sequence A038196, also bisection of A006356.at n=7A038213
• a(1) = 1; a(n+1) = sum of terms in continued fraction for the sum of the continued fractions, [a(1); a(2), a(3),...,a(n-1),a(n)] and [a(n); a(n-1), a(n-2),...,a(2), a(1)].at n=22A058081
• Expansion of (1-x)/(1-2*x-x^2+x^3).at n=14A077998
• Expansion of x*(1-x)/(1-2*x-x^2+x^3).at n=15A106803
• Expansion of ( 1-x^3+x^4+x^5-x^8 ) / ( 1-2*x^3-x^6+x^9 ).at n=42A120771
• Expansion of ( 1-x^3+x^4+x^5-x^8 ) / ( 1-2*x^3-x^6+x^9 ).at n=47A120771
• Elements of A011185 that are also the sum of a pair of distinct elements of A011185.at n=22A133605
• Number of reduced words of length n in the Weyl group D_8.at n=14A162211
• Let i be in {1,2,3}, let r >= 0 be an integer and n=2*r+i-1. Then a(n)=a(2*r+i-1) gives the quantity of H_(7,1,0) tiles in a subdivided H_(7,i,r) tile after linear scaling by the factor x^r, where x=sqrt((2*cos(Pi/7))^2-1).at n=32A187068
• Let i be in {1,2,3}, let r >= 0 be an integer and n=2*r+i-1. Then a(n)=a(2*r+i-1) gives the quantity of H_(7,3,0) tiles in a subdivided H_(7,i,r) tile after linear scaling by the factor x^r, where x=sqrt((2*cos(Pi/7))^2-1).at n=30A187070
• Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 486", based on the 5-celled von Neumann neighborhood.at n=18A282605
• Number of alternating strict compositions of n. Number of alternating (up/down or down/up) permutations of strict integer partitions of n.at n=37A349054
• a(n) is the number of symmetrical linear hydrocarbon chains with n C-C bonds.at n=25A370377
• Expansion of x + 1/(-x - 1/(-x - 1/(-x + 1))).at n=13A373567
• Number of integer partitions of n with a repeated part other than the least.at n=42A375405