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A144250
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Eigentriangle, row sums = A125275, shifted.
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1
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1, 1, 1, 1, 3, 2, 1, 6, 10, 6, 1, 10, 30, 42, 23, 1, 15, 70, 168, 207, 106, 1, 21, 140, 504, 1035, 1166, 567, 1, 28, 252, 1260, 3795, 6996, 7371, 3434
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| Row sums = A125273 shifted. A125273 = the eigensequence of triangle A085478.
Right border = A125273: (1, 1, 2, 6, 23, 106, 567, 3434,...). Sum of n-th row terms = rightmost term in next row.
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FORMULA
| Triangle read by rows, T(n,k) = A085478(n,k) * A125273(k).
As infinite lower triangular matrices, A144250 = A085478 * (A125275 * 0^(n-k);
where (A125275 * 0^(n-k)) = an infinite lower triangular matrix with A125275:
(1, 1, 2, 6, 23, 106, 567, 3434,...) as the main diagonal and the rest zeros.
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EXAMPLE
| First few rows of the triangle =
1;
1, 1;
1, 3, 2;
1, 6, 10, 6;
1, 10, 30, 42, 23;
1, 15, 70, 168, 207, 106;
1, 21, 140, 504, 1035, 1166, 567;
...
Row 4 = (1, 10, 30, 42, 23) = termwise products of (1, 10, 15, 7, 1) and (1, 1, 2, 6, 23) = (1*1, 10*1, 15*2, 7*6, 1*23); where (1, 10, 15, 7, 1) = row 4 of triangle A085478. Q
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CROSSREFS
| A125273, Cf. A085478
Sequence in context: A111049 A088617 A190909 * A156367 A193593 A181853
Adjacent sequences: A144247 A144248 A144249 * A144251 A144252 A144253
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 16 2008
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EXTENSIONS
| Corrected definition: Eigentriangle, row sums = A125273, shifted. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 05 2008
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