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A153521
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Triangular sequence recursion : A(n,k)= A(n - 1, k - 1) + A(n - 1, k) + 11*A(n - 2, k - 1).
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0
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2, 11, 11, 2, 238, 2, 2, 1329, 1329, 2, 2, 1353, 5276, 1353, 2, 2, 1377, 21248, 21248, 1377, 2, 2, 1401, 37508, 100532, 37508, 1401, 2, 2, 1425, 54056, 371768, 371768, 54056, 1425, 2, 2, 1449, 70892, 838412, 1849388, 838412, 70892, 1449, 2, 2, 1473
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Row sums are in A151617.
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FORMULA
| A(n,k)= A(n - 1, k - 1) + A(n - 1, k) + 11*A(n - 2, k - 1).
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EXAMPLE
| {2},
{11, 11},
{2, 238, 2},
{2, 1329, 1329, 2},
{2, 1353, 5276, 1353, 2},
{2, 1377, 21248, 21248, 1377, 2},
{2, 1401, 37508, 100532, 37508, 1401, 2},
{2, 1425, 54056, 371768, 371768, 54056, 1425, 2},
{2, 1449, 70892, 838412, 1849388, 838412, 70892, 1449, 2},
{2, 1473, 88016, 1503920, 6777248, 6777248, 1503920, 88016, 1473, 2}
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MATHEMATICA
| Clear[t, n, m, A, a];
j = 5; A[2, 1] := A[2, 2] = Prime[j];
A[3, 2] = 2*Prime[j]^2 - 4;
A[4, 2] = A[4, 3] = Prime[j]^3 - 2;;
A[n_, 1] := 2; A[n_, n_] := 2;
A[n_, k_] := A[n - 1, k - 1] + A[n - 1, k] + Prime[j]*A[n - 2, k - 1];
Table[Table[A[n, m], {m, 1, n}], {n, 1, 10}];
Flatten[%] Table[Sum[A[n, m], {m, 1, n}], {n, 1, 10}] ; Table[Sum[A[n, m], {m, 1, n}]/(2*Prime[j]^(n - 1)), {n, 1, 10}] ;
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CROSSREFS
| Sequence in context: A163344 A064743 A109868 * A153650 A086862 A027828
Adjacent sequences: A153518 A153519 A153520 * A153522 A153523 A153524
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KEYWORD
| nonn,uned,tabl
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Dec 28 2008
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