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 A176410 A symmetrical triangle of adjusted polynomial coefficients based on Hermite orthogonal polynomials. 2
 1, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, -191, 2113, -191, 1, 1, 1, 1, 1, 1, 1, 1, 7681, -337919, 7681, -337919, 7681, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -430079, 47738881, -430079, 180203521, -430079, 47738881, -430079, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Row sums are: {1, 2, 11, 4, 1733, 6, -652793, 8, 273960969, 10, -143712092149, ...}. LINKS G. C. Greubel, Rows n = 0..50 of triangle, flattened EXAMPLE Triangle begins as: 1; 1, 1; 1, 9, 1; 1, 1, 1, 1; 1, -191, 2113, -191, 1; 1, 1, 1, 1, 1, 1; 1, 7681, -337919, 7681, -337919, 7681, 1; 1, 1, 1, 1, 1, 1, 1, 1; MATHEMATICA T[n_, m_]:= CoefficientList[HermiteH[n, x], x][[m + 1]]Reverse[ CoefficientList[ HermiteH[n, x], x]][[m + 1]] - (CoefficientList[ HermiteH[n, x], x][[1]]Reverse[CoefficientList[HermiteH[n, x], x]][[1]]) + 1; Table[T[n, m], {n, 0, 10}, {m, 0, n}]//Flatten CROSSREFS Cf. A060821. Sequence in context: A113061 A366904 A284099 * A087966 A087968 A340365 Adjacent sequences: A176407 A176408 A176409 * A176411 A176412 A176413 KEYWORD less,sign,tabl AUTHOR Roger L. Bagula, Apr 16 2010 EXTENSIONS Edited by G. C. Greubel, Apr 26 2019 STATUS approved

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Last modified September 12 20:35 EDT 2024. Contains 375854 sequences. (Running on oeis4.)