36005

Appears in sequences

• A generalized partition function.at n=18A002602
• Take a <= b such that f(a)+f(b)=concatenation of a and b, where f(k)=k(k+3)/2 (A000096). Sequence gives values of b.at n=34A099149
• G.f.: A(x) = 1/(1 - x*A_0(x)) where A_0(x) = 1/(1 - 2x*A_1(x)^(1/2)) such that A_{n-1}(x) = 1/(1 - 2^n*x*[A_{n}(x)]^(1/2^n)) for n>=1 with A_0(x) equal to the g.f. of A137984.at n=7A137983
• 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, 0, 0), (1, -1, 0), (1, 0, 1), (1, 1, -1)}.at n=10A148790
• G.f. satisfies: A(x) = Sum_{n>=0} x^n * (2*A(x)^(2*n) - A(x)^n).at n=7A244062
• Number of 6-element subsets of [n] whose sum is a triangular number.at n=23A320852
• a(n) is the least positive k such that A000041(n) divides A000041(n+k), or 0 if no such k exists.at n=36A346696