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 A132111 Triangle read by rows: T(n,k) = n^2 + k*n + k^2, 0<=k<=n. 9
 0, 1, 3, 4, 7, 12, 9, 13, 19, 27, 16, 21, 28, 37, 48, 25, 31, 39, 49, 61, 75, 36, 43, 52, 63, 76, 91, 108, 49, 57, 67, 79, 93, 109, 127, 147, 64, 73, 84, 97, 112, 129, 148, 169, 192, 81, 91, 103, 117, 133, 151, 171, 193, 217, 243, 100, 111, 124, 139, 156, 175, 196, 219 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Permutation of A003136, the Loeschian numbers. [This is false - some terms are repeated, the first being 49 - Joerg Arndt, Dec 18 2015] Row sums give A132112. Central terms give A033582. T(n,k+1) = T(n,k) + n+2*k+1; T(n+1,k) = T(n,k) + 2*n+k+1; T(n+1,k+1) = T(n,k) + 3*(n+k+1); T(n,0) = A000290(n); T(n,1) = A002061(n+1) for n>0; T(n,2) = A117950(n+1) for n>1; T(n,n-2) = A056107(n-1) for n>1; T(n,n-1) = A003215(n-1) for n>0; T(n,n) = A033428(n). LINKS EXAMPLE Triangle begins: 0; 1, 3; 4, 7, 12; 9, 13, 19, 27; 16, 21, 28, 37, 48; 25, 31, 39, 49, 61, 75; 36, 43, 52, 63, 76, 91, 108; 49, 57, 67, 79, 93, 109, 127, 147; 64, 73, 84, 97, 112, 129, 148, 169, 192; 81, 91, 103, 117, 133, 151, 171, 193, 217, 243; - Philippe Deléham, Apr 16 2014 MATHEMATICA Flatten[Table[n^2+k*n+k^2, {n, 0, 10}, {k, 0, n}]] (* Harvey P. Dale, Jun 10 2013 *) CROSSREFS Sequence in context: A041153 A041781 A042893 * A164831 A085188 A286728 Adjacent sequences:  A132108 A132109 A132110 * A132112 A132113 A132114 KEYWORD nonn,tabl AUTHOR Reinhard Zumkeller, Aug 10 2007 STATUS approved

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Last modified April 21 14:42 EDT 2021. Contains 343154 sequences. (Running on oeis4.)