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A118981
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Companion Pell polynomials, as a triangle.
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1
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1, 1, 1, 1, 2, 3, 1, 3, 6, 4, 1, 4, 10, 12, 7, 1, 5, 15, 25, 25, 11
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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FORMULA
| By rows, terms as coefficients of companion Pell polynomials, f(x) = columns of A118979. f(x), x = 1,2,3...; sequences are binomial transforms of A118980 rows.
Conjecture: T(n,k) = abs( A104509(n-1,n-k) ). - R. J. Mathar, Oct 30 2011
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EXAMPLE
| First few rows of the triangle are:
1;
1, 1;
1, 2, 3;
1, 3, 6, 4;
1, 4, 10, 12, 7;
1, 5, 15, 25, 25, 11;
...
Polynomials are: (1), (x + 1), (x^2 + 2x + 3), (x^3 + 3x^2 + 6x + 4),...
Row 3: (1, 2, 3); as (x^2 + 2x + 3) = f(x), (x=1,2,3...) of column 3 of A118979: (6, 11, 18, 27, 38, 51...). The latter sequence = binomial transform of row 3 of A118980: (6, 5, 2).
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CROSSREFS
| Cf. A118980, A118979.
Sequence in context: A192852 A152976 A153861 * A117938 A101912 A176850
Adjacent sequences: A118978 A118979 A118980 * A118982 A118983 A118984
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KEYWORD
| nonn,tabl,uned
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), May 07 2006
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