Triangle read by rows: a(n, n) = n! and for 1 <= k < n, a(n, k) = Sum_{i=0..n-1} Product_{j=i+1..i+k} f(j, n), where for x <= y, f(x, y) = x and for x > y, f(x, y) = x-y.
A109876
Triangle read by rows: a(n, n) = n! and for 1 <= k < n, a(n, k) = Sum_{i=0..n-1} Product_{j=i+1..i+k} f(j, n), where for x <= y, f(x, y) = x and for x > y, f(x, y) = x-y.
Terms
- a(0) =1a(1) =3a(2) =2a(3) =6a(4) =11a(5) =6a(6) =10a(7) =24a(8) =50a(9) =24a(10) =15a(11) =45a(12) =120a(13) =274a(14) =120a(15) =21a(16) =76a(17) =252a(18) =720a(19) =1764a(20) =720a(21) =28a(22) =119a(23) =476a(24) =1680a(25) =5040a(26) =13068a(27) =5040a(28) =36a(29) =176
External references
- oeis: A109876