25167

Appears in sequences

• a(n)*a(n+3) - a(n+1)*a(n+2) = 2^n, given a(0)=1, a(1)=2, a(2)=10.at n=9A080881
• 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), (0, -1, 1), (1, -1, 0), (1, 0, 1), (1, 1, -1)}.at n=9A148979
• a(n) = 52*n^2 - 1.at n=21A158640
• Numbers m such that A166133(m+1) = A166133(m)^2 - 1.at n=37A256703
• Triangle T(n, k) read by rows: row n gives the coefficients of the numerator polynomials of the o.g.f. of the (n+1)-th diagonal of the Sheffer triangle A286718 (|S1hat[3,1]| generalized Stirling 1), for n >= 0.at n=26A290595
• a(n) = Sum_{k=1..n-1} k^2*phi(k) + n^2*phi(n)/2, where phi = A000010.at n=18A333293
• Number of ways to write n as an ordered sum of 8 primes (counting 1 as a prime).at n=16A341987