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Search: id:A132111
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| A132111 |
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Triangle read by rows: T(n,k) = n^2 + k*n + k^2, 0<=k<=n. |
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+0
10
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| 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; listen)
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OFFSET
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0,3
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COMMENT
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Permutation of A003136, the Loeschian numbers;
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).
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CROSSREFS
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Sequence in context: A041153 A041781 A042893 this_sequence A164831 A085188 A083561
Adjacent sequences: A132108 A132109 A132110 this_sequence A132112 A132113 A132114
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KEYWORD
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nonn,tabl
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 10 2007
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