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 A176286 Triangle t(n,k) = 1 +2*k*(n-k)*(k^2-n*k+2*n^2) read by rows, 0<=k<=n. 0
 1, 1, 1, 1, 15, 1, 1, 65, 65, 1, 1, 175, 225, 175, 1, 1, 369, 529, 529, 369, 1, 1, 671, 1025, 1135, 1025, 671, 1, 1, 1105, 1761, 2065, 2065, 1761, 1105, 1, 1, 1695, 2785, 3391, 3585, 3391, 2785, 1695, 1, 1, 2465, 4145, 5185, 5681, 5681, 5185, 4145, 2465, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS This could be written t(n,k) = 1-(n-k)^4 -k^4 +n^4, the quartic analog of A176284. Row sums are 1, 2, 17, 132, 577, 1798, 4529, 9864, 19329, 34954, 59345,... = (n+1)*(9*n^4 -9*n^3 -n^2 +n +15)/15. LINKS FORMULA t(n,k) = t(n,n-k). EXAMPLE 1; 1, 1; 1, 15, 1; 1, 65, 65, 1; 1, 175, 225, 175, 1; 1, 369, 529, 529, 369, 1; 1, 671, 1025, 1135, 1025, 671, 1; 1, 1105, 1761, 2065, 2065, 1761, 1105, 1; 1, 1695, 2785, 3391, 3585, 3391, 2785, 1695, 1; 1, 2465, 4145, 5185, 5681, 5681, 5185, 4145, 2465, 1; 1, 3439, 5889, 7519, 8449, 8751, 8449, 7519, 5889, 3439, 1; MATHEMATICA f[n_, m_, q_] := f[n, m, q] = 1 - ((n - m)^q + m^q - n^q); Table[Flatten[Table[Table[f[n, m, q], {m, 0, n}], {n, 0, 10}]], {q, 1, 10}] CROSSREFS Sequence in context: A040225 A070644 A174389 * A111805 A238754 A176226 Adjacent sequences:  A176283 A176284 A176285 * A176287 A176288 A176289 KEYWORD nonn,tabl,easy AUTHOR Roger L. Bagula, Apr 14 2010 EXTENSIONS Edited by R. J. Mathar, May 03 2013 STATUS approved

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Last modified October 23 23:51 EDT 2019. Contains 328379 sequences. (Running on oeis4.)