65024

Appears in sequences

• G.f.: q * Product_{m>=1} (1-q^m)^8*(1-q^2m)^8.at n=28A002288
• a(n) = 4^n - n^3.at n=8A024039
• Numbers n such that core(n)=floor(sqrt(n)), where core(x)=A007913(x) is the squarefree part of x and floor(sqrt(x))=A000196(x).at n=19A069186
• Nonsquarefree numbers m such that rad(m+1)=rad(m)+1, where rad(m)=A007947(m) is the squarefree kernel of m.at n=4A081084
• Numbers m such that A007947(m) = A007947(k) and A007947(m+1) = A007947(k+1), for some k < m.at n=7A087914
• Expansion of (1 - sqrt(1 - 4*x - 12*x^2))/(2*x).at n=8A103970
• a(n) = 4*(3*n+1)*(3*n+2).at n=42A144410
• a(n) = 2401*n^2 - 3822*n + 1520.at n=5A157370
• a(n) = (n^2-1)^2-1.at n=16A178392
• Numbers of the form p^9*q where p and q are distinct primes.at n=30A179692
• Numbers n such that 8^9 + n^2 is a square.at n=3A180972
• a(n) = 2^(n^2)*(2^(2*n+1) - 1).at n=3A190999
• Monotonic ordering of nonnegative differences 4^i-8^j, for 40>= i>=0, j>=0.at n=24A192167
• Number of bitstrings of length n (with at least two runs) where the last two runs have different lengths.at n=15A208901
• Total area of all squares and rectangles after 2^n stages in the toothpick structure of A139250, assuming the toothpicks have length 2.at n=8A211012
• Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 261", based on the 5-celled von Neumann neighborhood.at n=7A271061
• Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 657", based on the 5-celled von Neumann neighborhood.at n=7A273335
• Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 721", based on the 5-celled von Neumann neighborhood.at n=7A273446
• Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 65", based on the 5-celled von Neumann neighborhood.at n=15A278755
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 430", based on the 5-celled von Neumann neighborhood.at n=16A288197