53505

Appears in sequences

• Diagonals of Pascal's triangle mod 2 interpreted as binary numbers.at n=30A006921
• a(n) = Sum_{d|n} (2^(n-d)).at n=15A074854
• a(n)=2^(2^n)*sum(k=0,n,1/2^(2^k)).at n=4A085010
• Figurate numbers based on the 120-cell (4-D polytope with Schlaefli symbol {5,3,3}).at n=4A092183
• a(n) = A004001(10^n).at n=5A095900
• a(n) = a(n-1) XOR (a(n-1) + a(n-2)), with a(1)=1, a(2)=3, where XOR is the binary exclusive OR operation.at n=15A099810
• Number of n X n symmetric 0..3 arrays with rows, considered as 4-ary numbers, in strictly increasing order.at n=3A162128
• A bisection of A006921.at n=15A260022
• Decimal representation of the middle column of the "Rule 126" elementary cellular automaton starting with a single ON (black) cell.at n=15A267367
• Smallest number k such that A049559(k) / A187730(k) = n.at n=31A284440
• Numbers n such that n * x/(x-1) produces a rotation of the digits in n for some value of x.at n=32A288669
• G.f.: A(x,y) = (1-y)^2 * Sum_{n>=0} (2*n+1) * y^n * (1 + x*(1-y)^2 )^(n*(n+1)/2).at n=61A303650
• G.f.: A(x,y) = (1-y)^2 * Sum_{n>=0} (2*n+1) * y^n * (1 + x*(1-y)^2 )^(n*(n+1)/2).at n=66A303650
• a(n) = hypergeom([n, -n, 1/2], [1, 1], -8).at n=4A358388