48639

Appears in sequences

• Crystal ball sequence for 7-dimensional cubic lattice.at n=7A001849
• Central Delannoy numbers: a(n) = Sum_{k=0..n} C(n,k)*C(n+k,k).at n=7A001850
• a(n) = T([n/2],[(n+1)/2]), where T = Delannoy triangle (A008288).at n=14A026003
• Convolution of A055853 with A011782.at n=8A055854
• Number of alignments of n strings of length 7.at n=2A062204
• a(n) = ceiling(n^n/n!).at n=13A073225
• Number triangle, equal to half of Delannoy square array A008288.at n=28A113139
• Gaussian column reduction of Hankel matrix for central Delannoy numbers.at n=28A118384
• Eigentriangle, row sums = A001850, the Delannoy numbers.at n=44A152250
• Triangle, read by rows of 2*n+1 terms, where row n lists the coefficients in (1+3*x+2*x^2)^n.at n=56A200536
• Number A(n,k) of lattice paths from {n}^k to {0}^k using steps that decrement one component or all components by 1; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=52A229142
• a(n) = round(n^n/n!) where round(1/2)=1.at n=13A235496
• a(n) = round(n^n/n!) where round(1/2)=0.at n=13A240571
• Number A(n,k) of lattice paths from {n}^k to {0}^k using steps that decrement one or more components by one; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=52A262809
• Number A(n,k) of lattice paths starting at {n}^k and ending when k or any component equals 0, using steps that decrement one or more components by one; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=52A263159
• Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 105", based on the 5-celled von Neumann neighborhood.at n=17A278863
• Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008288) regarded as a triangle.at n=56A297191
• Left-hand half of triangle A297191.at n=35A297192
• Triangle read by rows, T(n, k) = (-1)^(n-k)*binomial(n,k)*hypergeom([k - n, n + 1], k + 1, 2), for n >= 0 and 0 <= k <= n.at n=28A297898
• Square array read by descending antidiagonals: T(n, k) where column k is the expansion of 1/sqrt(1 - 2*(k+1)*x + ((k-1)*x)^2).at n=52A307883