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 A143844 Triangle T(n,k) = k^2 read by rows. 0
 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; text; internal format)
 OFFSET 0,6 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) LINKS FORMULA T(n,k) = (A002262(n,k))^2. MATHEMATICA Table[Range[0, n]^2, {n, 0, 15}]//Flatten (* Harvey P. Dale, Sep 08 2017 *) PROG (PARI) for(n=0, 9, for(k=0, n, print1(k^2", "))) \\ Charles R Greathouse IV, Jun 10 2011 CROSSREFS Sequence in context: A299528 A300146 A100045 * A186759 A065623 A178103 Adjacent sequences:  A143841 A143842 A143843 * A143845 A143846 A143847 KEYWORD nonn,tabl,easy AUTHOR Paul Curtz, Sep 03 2008 EXTENSIONS Definition simplified by R. J. Mathar, Sep 07 2009 STATUS approved

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Last modified January 19 05:41 EST 2022. Contains 350464 sequences. (Running on oeis4.)