19285

Appears in sequences

• 4-dimensional pyramidal numbers: a(n) = (3*n+1)*binomial(n+2, 3)/4. Also Stirling2(n+2, n).at n=19A001296
• Expansion of Product_{k>=1} (1-x^k)^29.at n=6A010834
• Triangle of q-binomial coefficients for q=-12.at n=12A015125
• Gaussian binomial coefficient [ n,2 ] for q = -12.at n=2A015264
• Denominator of Bernoulli(2n+2) - Bernoulli(2n).at n=27A029763
• Numbers whose base-2 representation has exactly 13 runs.at n=24A043580
• a(n) is the smallest k such that the sum of the first k terms of the composite-harmonic series, Sum_{j=1..k} 1/(j-th composite), is > n.at n=6A074631
• Sequence resulting from a sum of three repeated binomial(n+3,4) sequences.at n=36A093039
• Smallest order of the cyclotomic polynomial whose maximal coefficient in absolute value is n.at n=15A136418
• Numbers k such that 2^k + 29 is prime.at n=29A156982
• a(n) = (n-5)*(n-6)*(n-7)*(n-16)/24.at n=27A167543
• Odd numbers producing 4 odd numbers in the Collatz iteration.at n=29A198587
• Number of 0..n arrays x(0..3) of 4 elements with each no smaller than the sum of its two previous neighbors modulo (n+1).at n=17A207101
• Number of n X n binary matrices with zero diagonal and x(i,j)+x(j,k)+x(k,i) not equal to one for i,j,k all different.at n=5A213608
• The least k such that the polynomial cyclotomic(k,x) has n different coefficients.at n=31A231611
• Triangle read by rows: The Bell transform of the quartic factorial numbers (A007696).at n=31A265606
• Number of orbits of Aut(Z^7) as function of the infinity norm n of the representative lattice point of the orbit, when the cardinality of the orbit is equal to 80640.at n=21A266396
• Number of non-abelian groups of order prime(n)^6.at n=20A271811
• Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 462", based on the 5-celled von Neumann neighborhood.at n=7A272310
• a(n) = (1/720)*n*(n - 10)*(n - 1)*(n^3 - 34*n^2 + 181*n - 144).at n=29A319932