403104

Appears in sequences

• Number of distributive lattices; also number of paths with n turns when light is reflected from 4 glass plates.at n=12A006357
• 4-wave sequence.at n=39A038197
• Bottom line of 4-wave sequence A038197, also bisection of A006357.at n=6A038235
• Partial sums of A051880.at n=15A050406
• Partial sums of A051923.at n=15A050494
• First row sum of the 4 X 4 matrix M^n, where M={{10, 9, 7, 4}, {9, 8, 6, 3}, {7, 6, 4, 2}, {4, 3, 2, 1}}.at n=4A122186
• Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p_1, p_2, p_3, p_4} = {-1,0,1,2}, n=3*r+p_i, and define a(-1)=1. Then a(n)=a(3*r+p_i) gives the quantity of H_(9,1,0) tiles in a subdivided H_(9,i,r) tile after linear scaling by the factor Q^r, where Q=sqrt(x^3-2*x) with x=2*cos(Pi/9).at n=44A187503
• Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p_1, p_2, p_3, p_4} = {-1,0,1,2}, n=3*r+p_i, and define a(-1)=0. Then a(n)=a(3*r+p_i) gives the quantity of H_(9,4,0) tiles in a subdivided H_(9,i,r) tile after linear scaling by the factor Q^r, where Q=sqrt(x^3-2*x) with x=2*cos(Pi/9).at n=41A187506
• a(n) = Fibonacci(n)*A028594(n) for n>=1, with a(0)=1, where A028594 lists the coefficients in (theta_3(x)*theta_3(7*x)+theta_2(x)*theta_2(7*x))^2.at n=18A205976
• T(n,k)=Number of nXk 0..3 arrays with antidiagonals unimodal and rows and diagonals nondecreasing.at n=26A223961
• Number of 6Xn 0..3 arrays with antidiagonals unimodal and rows and diagonals nondecreasing.at n=1A223966
• Expansion of x - 1/(x - 1/(x - 1/(x - 1/(x + 1)))).at n=12A373568