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A117937
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Triangle, rows = inverse binomial transforms of A117938 columns.
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3
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1, 1, 1, 3, 3, 2, 4, 10, 12, 6, 7, 27, 58, 60, 24, 11, 71, 240, 420, 360, 120
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| A117936 is the companion triangle using analogous Fibonacci polynomials. Left border of A117936 = the Lucas numbers; right border = factorials.
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FORMULA
| Rows of the triangle are inverse binomial transforms of A117938 columns. A117938 columns are generated from f(x), Lucas polynomials: (1); (x); (x^2 + 2); (x^3 + 3x); (x^4 + 4x + 2);...
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EXAMPLE
| First few rows of the triangle are:
1;
1, 1;
3, 3, 2;
4, 10, 12, 6;
7, 27, 58, 60, 24;
11, 71, 240, 420, 360, 120;
...
For example, row 4: (4, 10, 12, 6) = the inverse binomial transform of column 4 of A117938: (4, 14, 36, 76, 140...), being f(x), x =1,2,3...using the Lucas polynomial x^3 + 3x.
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CROSSREFS
| Cf. A117936, A117938.
Sequence in context: A161173 A050610 A151848 * A110897 A116644 A166462
Adjacent sequences: A117934 A117935 A117936 * A117938 A117939 A117940
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KEYWORD
| nonn
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 04 2006
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