31560

Appears in sequences

• Coefficients for step-by-step integration.at n=5A002406
• a(n) = a(n-1) + a(n-1-(number of odd terms so far)).at n=40A007604
• This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of tetrahedral numbers. The p-th row (p>=1) contains a(i,p) for i=1 to 3*p-2, where a(i,p) satisfies Sum_{i=1..n} C(i+2,3)^p = 4 * C(n+3,4) * Sum_{i=1..3*p-2} a(i,p) * C(n-1,i-1)/(i+3).at n=17A087107
• a(n) is the least positive integer such that for 1 <= k <= n, the concatenation of the k terms a(n-k+1) through a(n) is a multiple of k.at n=11A096085
• Number of (n+2)X5 binary arrays avoiding patterns 000 and 111 in rows, columns and nw-to-se diagonals.at n=3A202642
• Number of (n+2)X6 binary arrays avoiding patterns 000 and 111 in rows, columns and nw-to-se diagonals.at n=2A202643
• T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 111 in rows, columns and nw-to-se diagonals.at n=17A202647
• T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 111 in rows, columns and nw-to-se diagonals.at n=18A202647
• G.f.: A(x) = Sum_{n>=0} x^n / Product_{k=1..n} (1-x^k)^k.at n=22A206100
• Number of arrays of 5 0..n integers with no sum of consecutive elements equal to a disjoint adjacent sum of an equal number of elements.at n=7A215192
• 4*a(n) is the maximum possible determinant of a 3 X 3 matrix whose entries are 9 consecutive primes starting with prime(n).at n=16A340923