29698

Appears in sequences

• a(0) = 1, a(n) = 29*n^2 + 2 for n>0.at n=32A010019
• a(n) = 1*T(n,0) + 2*T(n,1) + ... + (2n+1)*T(n,2n), T given by A027926.at n=10A027992
• Expansion of (1 - x)/(1 - 2*x - x^3).at n=14A052980
• Row 3 of A007754.at n=29A058794
• 4-wave sequence beginning with 2s.at n=29A060824
• Numbers n such that sopf(n) = sopf(n-1) - sopf(n-2), where sopf(x) = sum of the distinct prime factors of x.at n=8A076527
• Expansion of (1 + x)/(1 + 2x + x^3).at n=14A110513
• a(n) = n^3 - 3*n.at n=31A121670
• Number of one-sided n-step prudent walks, avoiding single west step only, i.e., two or more consecutive west steps are permitted.at n=13A190512
• If n <= 5 then a(n) = 1, if 6 <= n <= 8 then 2, if n = 9 or 10 then 3, if n = 11, 12 or 13 then n-7; otherwise a(n) = 2*a(n - 4) + a(n - 12).at n=55A239905
• Row sums of the triangular array A246696.at n=38A246697
• Numbers that are nontrivially palindromic in three or more consecutive integer bases.at n=17A279093
• Union_{odd primes p, n >= 3} {T_p(n)}, where T_m(x) = x*T_{m-1}(x) - T_{m-2}(x), m >= 2, T_0(x) = 2, T_1(x) = x (dilated Chebyshev polynomials of the first kind).at n=31A299071
• Numbers k such that sopfr(k) = tau(k)^3.at n=12A305349