34650

Appears in sequences

• Exponential generating function: 2*(1+3*x)/(1-2*x)^(7/2).at n=4A000906
• Coefficients for extrapolation.at n=4A002738
• De Bruijn's S(3,n): (3n)!/(n!)^3.at n=4A006480
• Multiplicative encoding of partition triangle.at n=4A007280
• Triangle T(n,k) read by rows: associated Stirling numbers of first kind (n >= 2, 1 <= k <= floor(n/2)).at n=29A008306
• Area of more than one Pythagorean triangle.at n=28A009127
• a(n) = (4n)!/(24^n).at n=3A014608
• Multinomial coefficient n!/([n/3]![(n+1)/3]![(n+2)/3]!).at n=12A022916
• Table related to labeled rooted trees, cycles and binary trees.at n=25A054589
• Partial products p(0)*p(1)*...*p(n) of partition numbers A000041.at n=7A058694
• Square array read by antidiagonals of number of ways of dividing n*k labeled items into n labeled boxes with k items in each box.at n=17A060538
• Coefficient triangle of generalized Laguerre polynomials n!*L(n,4,x) (rising powers of x).at n=32A062140
• Fifth (unsigned) column sequence of triangle A062140 (generalized a=4 Laguerre).at n=3A062262
• Coefficient triangle of certain polynomials N(4; m,x).at n=40A062264
• T(n,k) = binomial(n,k)*binomial(n+k,k), 0 <= k <= n, triangle read by rows.at n=40A063007
• Triangle T(n,k) read by rows; related to number of preorders.at n=50A079510
• Sum of the n smallest numbers having the sum of their digits equal to n.at n=23A081928
• This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of binomial coefficients C(n,4). The p-th row (p>=1) contains a(i,p) for i=1 to 4*p-3, where a(i,p) satisfies Sum_{i=1..n} C(i+3,4)^p = 5 * C(n+4,5) * Sum_{i=1..4*p-3} a(i,p) * C(n-1,i-1)/(i+4).at n=27A087108
• T(n,k) = binomial(n,2*k)*binomial(2*k,k) for 0 <= k <= n, triangle read by rows.at n=82A089627
• Table T(n,k), 0<=k, 0<=n, read by antidiagonals, defined by T(n,k) = (k*n)! / (n!)^k.at n=32A089759