21602

Appears in sequences

• a(0) = 1, a(n) = 24*n^2 + 2 for n>0.at n=30A010014
• a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = (composite numbers).at n=23A025091
• Numbers k such that k^2 contains only digits {0,4,6}, not ending with zero.at n=3A058437
• a(n) = if n even then a(n - 1) - (n - 1)*a(n - 2) otherwise 2*(a(n - 1) + (n - 1)*a(n - 2)).at n=9A122017
• Difference between successive primes cubed: a(n) = prime(n+1)^3 - prime(n)^3.at n=16A129701
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 0, -1), (0, 1, 0), (1, -1, 1)}.at n=10A148355
• a(n) = 49*n^2 - 7.at n=20A158484
• Number of binary strings of length n with no substrings equal to 0000, 0010, or 0111.at n=21A164420
• Expansion of -(10*x + sqrt((1-10*x)*(1-14*x)))/(2*x).at n=5A174227
• Perimeter (rounded down) of a tetraflake-like fractal after n iterations, a(1) = 1 (see comments).at n=22A235648
• Number of n X 6 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it, modulo 4.at n=1A239817
• T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it, modulo 4.at n=22A239819
• Number of 2Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it, modulo 4.at n=5A239820
• Number of unit cubes that have a side on the surface of a p X p X p cube composed of p^3 unit cubes, where p is the n-th prime.at n=17A261971
• Numbers n such that n!3 + 3^8 is prime, where n!3 = n!!! is a triple factorial number (A007661).at n=29A264867
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 291", based on the 5-celled von Neumann neighborhood.at n=31A271131
• Triangle read by rows: Number of oriented graphs on n nodes with k components.at n=39A281446
• Number of non-self-conjugate partitions of n.at n=37A330644
• Expansion of the o.g.f. (2*x^2 + 3*x + 2)*x/((x + 1)^2*(x - 1)^4).at n=41A342397
• E.g.f. A(x) satisfies A(x) = exp( 2 * x * A(x)^(1/2) / (1 - x) ).at n=5A372158