26488
domain: N
Appears in sequences
- a(n) = 2*binomial(n,3).at n=44A007290
- Numerators of continued fraction convergents to sqrt(806).at n=7A042554
- Consider all integer triples (i,j,k), j >= k > 0, with binomial(i+2,3)=j^3+k^3, ordered by increasing i; sequence gives k values.at n=42A054207
- Table related to labeled rooted trees, cycles and binary trees.at n=24A054589
- a(1)=1, a(n) is the smallest integer > a(n-1) such that the sum of elements of the simple continued fraction for S(n)=1/a(1)+1/a(2)+...+1/a(n) equals n*(n+1)/2 the n-th triangular number.at n=29A071184
- Number of ways to partition the sum of all divisors of n (sigma(n), A000203) into distinct positive integers not greater than n.at n=29A079125
- 1/3 of product of three numbers: the n-th prime, the previous number and the following number.at n=13A127919
- Triangle T(n, k) = ( k*(n-k+1) )^3 - 2^(n-1), read by rows.at n=49A141388
- Triangle T(n, k) = ( k*(n-k+1) )^3 - 2^(n-1), read by rows.at n=50A141388
- Denominator of (n+3) / ((n+2) * (n+1) * n).at n=41A168061
- Denominators of ((n+3)/(n+2)/(n+1)/n) (sorted with no repeats).at n=37A168062
- Number of (n+1)X(2+1) 0..7 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 21.at n=2A233870
- Number of (n+1) X (3+1) 0..7 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 21.at n=1A233871
- T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 21.at n=7A233875
- T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 21.at n=8A233875
- Size of the smallest conjugacy class of size greater than 1 of the alternating group of degree n.at n=40A237036
- Members of a pair (m,k) such that sigma(m) = sigma(k) = sigma(m+k), m < k where sigma = A000203.at n=12A239436
- Members of a pair (m,n) such that sigma(m) = sigma(n) = sigma(n-m), m < n where sigma = A000203.at n=24A239939
- Number of length n+6 0..1 arrays with every seven consecutive terms having the maximum of some two terms equal to the minimum of the remaining five terms.at n=9A250147
- Coefficients of mock modular form H_1^(7) of type 1A.at n=30A256056