37384

Appears in sequences

• Sums of 4 distinct powers of 8.at n=13A038486
• Numbers k such that k*2^k - (k-1) is prime.at n=21A046847
• T(n, k) = 3*T(n-1, k-1) + T(n-1, k) for k < n and T(n, n) = 1, T(n, k) = 0, if k < 0 or k > n; triangle read by rows.at n=60A119673
• Main diagonal of triangular array T: T(j,1) = 1 for ((j-1) mod 8) < 4, else 0; T(j,k) = T(j-1,k-1)+T(j,k-1) for 2 <= k <= j.at n=16A129961
• Triangular array: the fission of the polynomial sequence ((x+1)^n: n >= 0) by the polynomial sequence ((x+2)^n: n >= 0). (Fission is defined at Comments.)at n=50A193842
• Mirror image of the triangle A193842.at n=49A193843
• Sum over all partitions lambda of n of Sum_{p:lambda} p^m(p,lambda), where m(p,lambda) is the multiplicity of part p in lambda.at n=21A213180
• Number of conjugacy classes of the symmetric group S_n when conjugating only by even permutations.at n=39A242101
• Number of (n+2)X(7+2) 0..3 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=20A253024
• a(n) = Sum_{k=0..n} 3^k * binomial(n+k-1,k).at n=5A383888