20240

Appears in sequences

• Column of Motzkin triangle A026300.at n=8A005324
• a(n) = floor(n*(n-1)*(n-2)*(n-3)/15).at n=25A011925
• Values of z in positive integer solutions of x^2 + y^5 = z^3, listed in increasing order of z.at n=27A070067
• a(n) = ((n^6 - (n-1)^6) - (n^2 - (n-1)^2))/60.at n=11A079547
• Positions of records in the continued fraction expansion of the prime constant.at n=12A103313
• Indices of increasing partial quotients PQ_i of the continued fraction for the prime constant (A051006).at n=12A103518
• Triangle read by rows: T(n,k) is number of Grand Motzkin paths of length n having k returns to the x-axis from above (i.e., d steps hitting the x-axis).at n=44A109195
• a(n) = 2^n + 3^n + 5*n.at n=9A120845
• Inverse binomial transform of A030186.at n=13A156096
• Terms of A177763 which have more than one such representation.at n=18A177766
• Number of -3..3 arrays x(0..n+1) of n+2 elements with zero sum and no two neighbors summing to zero.at n=4A199827
• T(n,k)=Number of -k..k arrays x(0..n+1) of n+2 elements with zero sum and no two neighbors summing to zero.at n=25A199832
• Number of -n..n arrays x(0..6) of 7 elements with zero sum and no two neighbors summing to zero.at n=2A199836
• Irregular triangle read by rows: T(n,m) = number of lattice paths of type {A^Q}_R terminating at point (n, m).at n=40A291082
• E.g.f. A(x) satisfies: A(x) = Integral cosh(A(x)) / cos(x) dx.at n=4A292396
• Number of closed meanders with 2n crossings and 6 digons.at n=7A301940
• Numbers k such that k/10 + 1 is a square.at n=45A302576
• Completely multiplicative with a(p) = p * a(p-1) for any prime number p.at n=22A309243
• Numbers k such that phi(k) + uphi(k) = k, where phi is the Euler totient function (A000010) and uphi is the unitary totient function (A047994).at n=6A329729
• Number of partitions of the n-th n-gonal pyramidal number into distinct n-gonal pyramidal numbers.at n=50A337798