31422

Appears in sequences

• a(n) = a(n-1) + a(n-4) with a(0) = 0, a(1) = a(2) = a(3) = 1.at n=35A003269
• Expansion of (1-x)/(1-x-x^4).at n=38A017898
• Expansion of (1-x)*(1+x)/(1-x-2*x^2+x^4).at n=17A052535
• a(n) is its own 4th difference.at n=8A055990
• Expansion of -x - x^3*(2 -2*x^4 +x^5)/((1-x^2)*(1+x+x^4)).at n=33A089076
• Sum C(n-3k,k-1), k=0..floor(n/4).at n=37A099561
• 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=35A116585
• Number of n X 4 0..1 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.at n=10A223766
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 57", based on the 5-celled von Neumann neighborhood.at n=35A270077
• G.f. A(x) satisfies: A(x^2*B(x)) = x^3 - x^4, where A(B(x)) = x.at n=10A273203
• Expansion of 1/(1 - x*(1 + x)/(1 - x^2*(1 + x^2)/(1 - x^3*(1 + x^3)/(1 - x^4*(1 + x^4)/(1 - ...))))), a continued fraction.at n=15A308745
• Number of compositions (ordered partitions) of n into nonprime parts not greater than sqrt(n).at n=34A368873
• Number of compositions (ordered partitions) of n into squares not greater than sqrt(n).at n=34A369342
• Number of integer partitions of n with a repeated part other than the least.at n=40A375405
• Number of one-sided polyaboloes (or polytans) with n cells, where two triangles sharing a hypotenuse (making up a square) are counted as a single cell.at n=6A390997