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A143844
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Triangle T(n,k) = k^2 read by rows.
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1
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0, 0, 1, 0, 1, 4, 0, 1, 4, 9, 0, 1, 4, 9, 16, 0, 1, 4, 9, 16, 25, 0, 1, 4, 9, 16, 25, 36, 0, 1, 4, 9, 16, 25, 36, 49, 0, 1, 4, 9, 16, 25, 36, 49, 64, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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COMMENTS
| This is triangle A133819 with an additional leading column of zeros.
Comment from Paul Curtz, Jun 10 2011: (Start)
There is a family of even integer-valued polynomials p_n(x) = product_{k=0..n} (x^2 - T(n,k))/ A002674(n+1). We find p_0(x) in A000290, p_1(x) in A002415, p_2(x) essentially in A040977, p_3(x) in A053347 and p_4(x) in A054334. (End)
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FORMULA
| T(n,k) = (A002262(n,k))^2.
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PROG
| (PARI) for(n=0, 9, for(k=0, n, print1(k^2", "))) \\ Charles R Greathouse IV, Jun 10 2011
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CROSSREFS
| Sequence in context: A172545 A124321 A100045 * A186759 A065623 A178103
Adjacent sequences: A143841 A143842 A143843 * A143845 A143846 A143847
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KEYWORD
| nonn,tabl,easy
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Sep 03 2008
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EXTENSIONS
| Definition simplified by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 07 2009
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