23114

Appears in sequences

• Write the numbers from 1 to n^2 in a spiraling square; a(n) is the total of the sums of the two diagonals.at n=26A059924
• A symmetrical triangle of coefficients of polynomials: q(x,n)=((1 - x)^(2*n)/(n*x))*Sum[Binomial[k + n - 1, k]*k^n*x^k, {k, 0, Infinity}]; p(x,n)=q(x,n)+x^(n-1)*q(1/x,n); t(n,m)=coefficients(p(x,n)).at n=17A152300
• A symmetrical triangle of coefficients of polynomials: q(x,n)=((1 - x)^(2*n)/(n*x))*Sum[Binomial[k + n - 1, k]*k^n*x^k, {k, 0, Infinity}]; p(x,n)=q(x,n)+x^(n-1)*q(1/x,n); t(n,m)=coefficients(p(x,n)).at n=18A152300
• a(n) = binary code (shown here in decimal) of the position of natural number n in the beanstalk-tree A218776.at n=36A218615
• Number of (1+1) X (n+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.at n=10A231397
• Number of partitions p of n such that median(p) < mean(p).at n=37A240217
• Number of (n+2)X(2+2) 0..3 arrays with every consecutive three elements in every row, column and nw-se diagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=2A252772
• Number of (n+2)X(3+2) 0..3 arrays with every consecutive three elements in every row, column and nw-se diagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=1A252773
• T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every consecutive three elements in every row, column and nw-se diagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=7A252777
• T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every consecutive three elements in every row, column and nw-se diagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=8A252777
• Number of shapes of grid-filling curves of order 6*n+1 (on the tri-hexagonal grid) with turns by +-60 and +-120 degrees that are generated by Lindenmayer-systems with just one symbol apart from the turns.at n=10A265686
• Numbers k such that k and k+1 are the product of exactly four distinct primes.at n=19A318896
• Numbers k such that k and k+1 each have at least 4 distinct prime factors.at n=38A321504
• Expansion of (1/x) * Series_Reversion( x / (1 + x^2 * (1 + x)^2)^2 ).at n=10A389632