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 A095873 Triangle T(n,k) = (2*k-1)*(n+k-1)*(n-k+1) read by rows, 1<=k<=n. 1
 1, 4, 9, 9, 24, 25, 16, 45, 60, 49, 25, 72, 105, 112, 81, 36, 105, 160, 189, 180, 121, 49, 144, 225, 280, 297, 264, 169, 64, 189, 300, 385, 432, 429, 364, 225, 81, 240, 385, 504, 585, 616, 585, 480, 289, 100, 297, 480, 637, 756, 825 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Matrix square of A158405. REFERENCES Albert H. Beiler, "Recreations in the Theory of Numbers", Dover, 1966. LINKS FORMULA T(n,k) = (2*k-1)*A094728(n,k). Sum_{k=1..n} T(n,k)= n*(n+1)*(3*n^2+n-1)/6 = A103220(n). - R. J. Mathar, Oct 30 2011 EXAMPLE [1 0 0 / 1 3 0 / 1 3 5]^2 = [1 0 0 / 4 9 0 / 9 24 25]. Delete the zeros and read by rows: 1; 4, 9; 9, 24, 25; 16,45, 60, 49; 25,72,105,112, 81; MAPLE A095873 := proc(n, k)         (2*k-1)*(n+k-1)*(n-k+1) ; end proc: seq(seq(A095873(n, k), k=1..n), n=1..13) ; # R. J. Mathar, Oct 30 2011 MATHEMATICA Table[(2k-1)(n+k-1)(n-k+1), {n, 10}, {k, n}]//Flatten (* Harvey P. Dale, May 03 2018 *) CROSSREFS Cf. A094728, A095871, A095872. Sequence in context: A139417 A329732 A298816 * A141801 A177083 A081949 Adjacent sequences:  A095870 A095871 A095872 * A095874 A095875 A095876 KEYWORD nonn,tabl,easy AUTHOR Gary W. Adamson, Jun 10 2004 EXTENSIONS Definition in closed form by R. J. Mathar, Oct 30 2011 STATUS approved

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Last modified May 7 17:02 EDT 2021. Contains 343652 sequences. (Running on oeis4.)