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 A141434 Triangle T(n, k) = (k-1)*(3*n-k-1), read by rows. 1
 0, 0, 3, 0, 6, 10, 0, 9, 16, 21, 0, 12, 22, 30, 36, 0, 15, 28, 39, 48, 55, 0, 18, 34, 48, 60, 70, 78, 0, 21, 40, 57, 72, 85, 96, 105, 0, 24, 46, 66, 84, 100, 114, 126, 136, 0, 27, 52, 75, 96, 115, 132, 147, 160, 171 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS G. C. Greubel, Rows n = 1..50 of the triangle, flattened FORMULA Sum_{k=1..n} T(n,k) = (n-1)*n*(7*n-5)/6. - R. J. Mathar, Sep 07 2011 EXAMPLE Triangle begins as: 0; 0, 3; 0, 6, 10; 0, 9, 16, 21; 0, 12, 22, 30, 36; 0, 15, 28, 39, 48, 55; 0, 18, 34, 48, 60, 70, 78; 0, 21, 40, 57, 72, 85, 96, 105; 0, 24, 46, 66, 84, 100, 114, 126, 136; 0, 27, 52, 75, 96, 115, 132, 147, 160, 171; MAPLE A141434:= (n, k) -> (k-1)*(3*n-k-1); seq(seq(A141434(n, k), k=1..n), n=1..12); # G. C. Greubel, Apr 01 2021 MATHEMATICA Table[(k-1)*(3*n-k-1), {n, 12}, {k, n}]//Flatten (* modified by G. C. Greubel, Apr 01 2021 *) PROG (Magma) [(k-1)*(3*n-k-1): k in [1..n], n in [1..12]]; // G. C. Greubel, Apr 01 2021 (Sage) flatten([[(k-1)*(3*n-k-1) for k in (1..n)] for n in (1..12)]) # G. C. Greubel, Apr 01 2021 CROSSREFS Cf. A255211 (row sums). Sequence in context: A011415 A216473 A198433 * A077911 A057381 A144091 Adjacent sequences: A141431 A141432 A141433 * A141435 A141436 A141437 KEYWORD nonn,easy,tabl AUTHOR Roger L. Bagula and Gary W. Adamson, Aug 06 2008 STATUS approved

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Last modified August 4 13:44 EDT 2024. Contains 374923 sequences. (Running on oeis4.)