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A142597
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Triangle read by rows: t(n,k)=t(n - 1, k - 1) + 4* t(n - 1, k) + 3*t(n - 1, k - 1).
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0
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1, 1, 1, 1, 8, 1, 1, 36, 36, 1, 1, 148, 288, 148, 1, 1, 596, 1744, 1744, 596, 1, 1, 2388, 9360, 13952, 9360, 2388, 1, 1, 9556, 46992, 93248, 93248, 46992, 9556, 1, 1, 38228, 226192, 560960, 745984, 560960, 226192, 38228, 1, 1, 152916, 1057680, 3148608
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OFFSET
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1,5
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COMMENTS
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Row sums are: {1, 2, 10, 74, 586, 4682, 37450, 299594, 2396746, 19173962, ...}.
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LINKS
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EXAMPLE
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Triangle begins:
{1},
{1, 1},
{1, 8, 1},
{1, 36, 36, 1},
{1, 148, 288, 148, 1},
{1, 596, 1744, 1744, 596, 1},
{1, 2388, 9360, 13952, 9360, 2388, 1},
{1, 9556, 46992, 93248, 93248, 46992, 9556, 1},
{1, 38228, 226192, 560960, 745984, 560960, 226192, 38228, 1},
{1, 152916, 1057680, 3148608, 5227776, 5227776, 3148608, 1057680, 152916, 1}
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MATHEMATICA
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A[n_, 1] := 1 A[n_, n_] := 1 A[n_, k_] := A[n - 1, k - 1] + 4* A[n - 1, k] + 3*A[n - 1, k - 1]; a = Table[A[n, k], {n, 10}, {k, n}]; Flatten[a]
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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