47785

Appears in sequences

• a(1)=a(2)=1. a(n+1) = a(n) + a(largest prime dividing n).at n=45A128215
• Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (-1, 0), (-1, 1), (0, 1), (1, 0), (1, 1)}.at n=8A151470
• Triangle T(n,k) read by rows: T(n,k) = Sum_{j=0..k} (-1)^j *binomial(n+1,j)*(k+2-j)^n, 0 <= k < n.at n=46A180246
• Ranks of {2,3}-power towers with neither consecutive 2's nor consecutive 3's; see Comments.at n=28A299322
• Number of partitions of n whose greatest part is a multiple of 5.at n=51A363047
• E.g.f. A(x) satisfies A(x) = 1 + sinh(x*A(x)) / A(x).at n=9A381179
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384750.at n=49A384752