A274602 Triangle read by rows: T(n,k) = k*(n-k+1)^2 + n - k, 0 <= k <= n.
0, 1, 1, 2, 5, 2, 3, 11, 9, 3, 4, 19, 20, 13, 4, 5, 29, 35, 29, 17, 5, 6, 41, 54, 51, 38, 21, 6, 7, 55, 77, 79, 67, 47, 25, 7, 8, 71, 104, 113, 104, 83, 56, 29, 8, 9, 89, 135, 153, 149, 129, 99, 65, 33, 9, 10, 109, 170, 199, 202, 185, 154, 115, 74, 37, 10
Offset: 1
Examples
0; 1,1; 2,5,2; 3,11,9,3; 4,19,20,13,4; 5,29,35,29,17,5; ... As an infinite triangular array: 0 1 1 2 5 2 3 11 9 3 4 19 20 13 4 5 29 35 29 17 5 As an infinite square array (matrix) with comments: 0 1 2 3 4 5 A001477 1 5 9 13 17 21 A016813 2 11 20 29 38 47 A017185 3 19 35 51 67 83 4 29 54 79 104 129 5 41 77 113 149 185
Crossrefs
Programs
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Magma
/* As triangle */ [[k*(n-k+1)^2+n-k: k in [0..n]]: n in [0..10]];
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Mathematica
Table[k (n - k + 1)^(k + #) + n - k &[2 - k], {n, 0, 10}, {k, 0, n}] // Flatten (* Michael De Vlieger, Dec 02 2016 *)
Comments