29008

Appears in sequences

• Sum of 5th powers: 0^5 + 1^5 + 2^5 + ... + n^5.at n=7A000539
• a(n) = 1^n + 2^n + ... + 7^n.at n=5A001554
• Numbers k such that sigma(k^2 + 1) == 0 (mod k).at n=36A067719
• Number of binary words of length n containing at least one subword 1000001 and no subwords 10^{i}1 with i<5.at n=41A143285
• Number of lattice paths from (0,0) to (n,n) using steps S={(k,0),(0,k),(r,r)|k>0,r>0} which never go above the line y=x.at n=6A175962
• Numbers which are the sums of consecutive fifth powers.at n=28A217845
• G.f.: A(x,y) = exp( Sum_{n>=1} [Sum_{k=0..n} C(n,k)^6 * y^k] * x^n/n ) = Sum_{n>=0,k=0..n} T(n,k)*x^n*y^k, as a triangle of coefficients T(n,k) read by rows.at n=29A218116
• G.f.: A(x,y) = exp( Sum_{n>=1} [Sum_{k=0..n} C(n,k)^6 * y^k] * x^n/n ) = Sum_{n>=0,k=0..n} T(n,k)*x^n*y^k, as a triangle of coefficients T(n,k) read by rows.at n=34A218116
• Volume of each square prism building the next 3-dimensional box in A100538 where side lengths form the Padovan spiral number sequence (A134816), starting with 1 X 1 X 1, 1 X 1 X 2, 2 X 2 X 2, 2 X 2 X 3, 4 X 4 X 5, ...at n=12A285551
• Numbers with more than one Collatz tripling step whose odd Collatz trajectory does not contain primes.at n=27A319936
• Table read by antidiagonals upward: T(n,k) is the number of ways to move a chess queen from (1,1) to (n,k) in the first quadrant using only up, right, and diagonal up-left moves.at n=27A334017
• a(n) = Sum_{k=1..n-1} sigma(k)*sigma_3(n-k).at n=12A374963
• Numbers k for which there exists m such that the sum from 1 to m and the sum from m + 1 to k are both perfect squares.at n=34A388659