The r-th term of the n-th row of the following array contains the sum of r successively decreasing integers beginning from n. 0<r<=n. e.g. the row corresponding to 4 contains 4, (3+2),{(1) +(0)+(-1)}, {(-2)+(-3)+(-4)+(-5)} ----> 4,5,0,-14 1 2 1 3 3 -3 4 5 0 -14 5 7 3 -10 -35 6 9 6 -6 -30 -69 ... Sequence contains the array by rows.
A110425
The r-th term of the n-th row of the following array contains the sum of r successively decreasing integers beginning from n. 0<r<=n. e.g. the row corresponding to 4 contains 4, (3+2),{(1) +(0)+(-1)}, {(-2)+(-3)+(-4)+(-5)} ----> 4,5,0,-14 1 2 1 3 3 -3 4 5 0 -14 5 7 3 -10 -35 6 9 6 -6 -30 -69 ... Sequence contains the array by rows.
Terms
- a(0) =1a(1) =2a(2) =1a(3) =3a(4) =3a(5) =-3a(6) =4a(7) =5a(8) =0a(9) =-14a(10) =5a(11) =7a(12) =3a(13) =-10a(14) =-35a(15) =6a(16) =9a(17) =6a(18) =-6a(19) =-30a(20) =-69a(21) =7a(22) =11a(23) =9a(24) =-2a(25) =-25a(26) =-63a(27) =-119a(28) =8a(29) =13
External references
- oeis: A110425