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A117425
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Triangle T, read by rows, formed by a column bisection of triangle A117418: column k of T equals column 2*k of A117418.
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3
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1, 1, 1, 1, 3, 1, 1, 8, 5, 1, 1, 22, 20, 7, 1, 1, 65, 79, 37, 9, 1, 1, 208, 322, 180, 58, 11, 1, 1, 723, 1385, 871, 339, 83, 13, 1, 1, 2721, 6293, 4296, 1935, 550, 113, 15, 1, 1, 11053, 30152, 21821, 11092, 3465, 846, 148, 17, 1, 1, 48220, 151842, 114676, 64748, 21514
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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EXAMPLE
| Triangle begins:
1;
1, 1;
1, 3, 1;
1, 8, 5, 1;
1, 22, 20, 7, 1;
1, 65, 79, 37, 9, 1;
1, 208, 322, 180, 58, 11, 1;
1, 723, 1385, 871, 339, 83, 13, 1;
1, 2721, 6293, 4296, 1935, 550, 113, 15, 1;
1, 11053, 30152, 21821, 11092, 3465, 846, 148, 17, 1; ...
Column k of T equals column 2*k of A117418, which begins:
1;
1, 1;
1, 2, 1;
1, 4, 3, 1;
1, 9, 8, 4, 1;
1, 23, 22, 14, 5, 1;
1, 66, 65, 50, 20, 6, 1;
1, 209, 208, 191, 79, 28, 7, 1; ...
Let matrix R = SHIFT_RIGHT(A117418):
1;
0, 1;
0, 1, 1;
0, 1, 2, 1;
0, 1, 4, 3, 1;
0, 1, 9, 8, 4, 1;
0, 1, 23, 22, 14, 5, 1;
0, 1, 66, 65, 50, 20, 6, 1; ...
then the matrix product A117418*R yields this triangle.
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PROG
| (PARI)
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CROSSREFS
| Cf. A117426 (row sums); A117418, A117427 (dual).
Sequence in context: A152879 A098747 A122897 * A168216 A091698 A134380
Adjacent sequences: A117422 A117423 A117424 * A117426 A117427 A117428
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KEYWORD
| nonn,tabl
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Mar 14 2006
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