27966

Appears in sequences

• Expansion of 1/((1+x)*(1-x)^9).at n=10A001780
• Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,11.at n=8A064242
• Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,45.at n=11A064259
• Third row of Pascal-(1,6,1) array A081581.at n=34A081591
• Coefficient of x^n in 1/((1+x)*(1-x)^(n-1)).at n=10A091526
• Centered 47-gonal numbers.at n=34A129428
• Triangle read by rows: T(n,k) is the number of weighted lattice paths in L_n having k (1,0)-steps of weight 2. These are paths that start at (0,0) , end on the horizontal axis and whose steps are of the following four kinds: an (1,0)-step with weight 1; an (1,0)-step with weight 2; a (1,1)-step with weight 2; a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps.at n=58A182885
• Number of (n+1)X2 0..7 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing.at n=1A203657
• Number of (n+1)X3 0..7 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing.at n=0A203658
• T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing.at n=1A203661
• T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing.at n=2A203661
• Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths ending at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 9, n >= 2.at n=33A214376
• Number of 5 X n 0..1 arrays with rows unimodal and columns nondecreasing.at n=7A225012
• Triangular numbers which are an average of four consecutive primes.at n=23A226196
• Triangular numbers n such that sigma(n) is a square number.at n=8A256151
• The number of overpartitions of n with restricted odd differences and smallest part both odd and overlined.at n=33A261037
• Triangular numbers k such that psi(k) is a square, where psi(k) is the Dedekind psi function (A001615).at n=17A292064
• Triangular numbers that are the product of four distinct primes.at n=34A333771
• Triangular numbers (A000217) whose second arithmetic derivative (A068346) is also a triangular number.at n=41A351131
• Second hexagonal numbers having middle divisors.at n=41A361209