22714

Appears in sequences

• Expansion of Product_{m>=1} (1+m*q^m)^(-10).at n=10A022702
• a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is a nonnegative integer, s(0) = 0 = s(n), s(1) = 1, |s(i) - s(i-1)| <= 1 for i >= 2, |s(2) - s(1)| = 1, |s(3) - s(2)| = 1 if s(2) = 1. Also a(n) = T(n,n) and a(n) = Sum{T(k,k-1)}, k = 1,2,...,n, where T is array in A026268.at n=11A026269
• T(n,n), array T as in A047140.at n=9A047142
• Numbers n such that h(n) = 3 h(n-1) where h(n) is the length of the sequence {n, f(n), f(f(n)), ...., 1} in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=25A078420
• Half the number of n X n symmetric binary matrices with no element unequal to a strict majority of its diagonal, vertical and horizontal neighbors.at n=7A190657
• Number of n X n 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically.at n=5A207105
• Number of n X 6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically.at n=5A207109
• Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically.at n=5A207115
• Numbers whose squares have 2R-1 digits, such that the number represented by leftmost R digits and number represented by rightmost R digits divide each other evenly.at n=18A216233
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 150", based on the 5-celled von Neumann neighborhood.at n=44A270323
• Numbers k such that Bernoulli number B_{k} has denominator 498.at n=32A282773
• Least integer k such that k/2^n > log 2.at n=15A293363
• a(n) = [x^n] Product_{k>=1} 1/(1 + k*x^k)^n.at n=10A297326
• Irregular triangle read by rows: for n >= 2, 2 <= k <= floor(n/2) + 1, T(n,k) = the number of semi-meanders with n top arches, a first arch of length one and k arch groupings.at n=51A339179