34096

Appears in sequences

• Pisot sequence P(4,11), a(0)=4, a(1)=11, a(n+1) is the nearest integer to a(n)^2/a(n-1). Evidently satisfies a(n) = 2*a(n-1)+2*a(n-2).at n=9A021006
• G.f.: Sum_{n >= 1} x^n/(1-x^n)^5.at n=27A073570
• Row sums of triangle A093628, in which the diagonals are equal to the Euler transform of the rows.at n=15A093629
• Triangle read by rows: coefficients d(n,k) of André polynomials D(x,n) = Sum_{k>0} d(n,k)*x^k.at n=32A094503
• Triangle read by rows: T(n,k) = (k+1)*T(n-1,k) + (n-k+1)*T(n,k-1).at n=38A096078
• Triangle read by rows: number of simsun n-permutations with k descents.at n=31A113897
• a(n) = numerator of (Zeta(2, 1/4) - Zeta(2, n+1/4)), where Zeta is the Hurwitz Zeta function.at n=3A173947
• Number of -n..n arrays x(0..4) of 5 elements with zero sum, and adjacent elements not equal modulo three (with -1 modulo 3 = 2).at n=10A199912
• Number of n X 2 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors.at n=5A209094
• T(n,k)=Number of nXk 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors.at n=26A209100
• Number of 6Xn 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors.at n=1A209105
• Number of nX6 0..1 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.at n=7A223768
• Expansion of Product_{k>=1} (1 + x^(3*k-2))^(3*k-2).at n=39A262949
• T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.at n=26A280673
• Number of 6Xn 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.at n=1A280678
• 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=40A384752