65504

Appears in sequences

• Second-order Eulerian numbers: a(n) = 2^n - 2*n.at n=16A005803
• Stella octangula numbers: a(n) = n*(2*n^2 - 1).at n=32A007588
• a(n) is the number of distinct patterns (modulo geometric D3-operations) with strict median-reflective (palindrome) symmetry (i.e., having no other symmetry) which can be formed by an equilateral triangular arrangement of closely packed black and white cells satisfying the local matching rule of Pascal's triangle modulo 2, where n is the number of cells in each edge of the arrangement. The matching rule is such that any elementary top-down triangle of three neighboring cells in the arrangement contains either one or three white cells.at n=31A060549
• Expansion of (1-x)^(-1)/(1 - x - 2*x^2 + 2*x^3).at n=27A077866
• a(n) = A078152(2^n).at n=29A078157
• a(n) = 10*a(n-2) - 16*a(n-4) for n > 3, a(0) = 1, a(1) = 5, a(2) = 14, a(3) = 34.at n=10A083332
• a(n) = 4^n - 4*n.at n=8A107584
• Sequence S with property that for n in S, a(n) = a(1) + a(2) +...+ a(n-1) and for n not in S, a(n) = n+1.at n=27A121173
• E.g.f.: (e^x - x)^2.at n=16A130102
• Partial sums of A000918, starting from index 1.at n=14A145654
• Numbers whose binary representation is the concatenation of 2n-1 digits 1 and n-1 digits 0.at n=5A147590
• a(n) = 64*n^2 - n.at n=31A157948
• a(n) = 256*n^2 - 2*n.at n=15A158249
• a(n) = 1024*n^2 - 32.at n=7A158683
• a(n) = 32*(2^n - 1).at n=11A175165
• a(n) = n^4 - 2n.at n=16A246767
• Number of partitions of n containing no part i of multiplicity i-1.at n=46A277102
• Compound filter (summands of A004001 & summands of A005185): a(n) = P(A286541(n), A286559(n)), where P(n,k) is sequence A000027 used as a pairing function, with a(1) = a(2) = 0.at n=34A286560
• Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 217", based on the 5-celled von Neumann neighborhood.at n=15A286740
• Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 459", based on the 5-celled von Neumann neighborhood.at n=15A288403