18456

Appears in sequences

• Consider all integer triples (i,j,k), j >= k > 0, with binomial(i+2,3)=j^3+k^3, ordered by increasing i; sequence gives j values.at n=15A054206
• a(n) = prime(n) + n^3 + n^2 + 4n - 1.at n=25A060822
• Let b(1)=x, b(2)=y, k*b(k)=(2k-1)*b(k-1) + 3(k+1)*b(k-2); then b(n)=a(n)*x+c(n)/3*y.at n=10A076148
• a(1) = 1, a(n+1) = a(n) + gpf(Sum_{i=1..n} a(i)), where gpf=A006530 (greatest prime factor).at n=17A080182
• 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, 1), (-1, 0, 0), (0, -1, 1), (0, 1, 0), (1, 1, -1)}.at n=10A148200
• a(n) = the smallest positive integer that, when written in binary, contains both binary n and binary n^2 as substrings.at n=23A165820
• Number of 6's in the last section of the set of partitions of n.at n=49A206556
• Integer areas of the first Neuberg triangles of integer-sided triangles.at n=5A230758
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 49", based on the 5-celled von Neumann neighborhood.at n=30A270016
• Numbers k such that 345*2^k+1 is prime.at n=48A319742
• Moran numbers whose arithmetic derivative is also a Moran number (A001101).at n=19A349485
• E.g.f. A(x) satisfies A(A(A(A(x)))) = x * exp(4*x).at n=6A372736