triangular numbers

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triangular numbers [trī¦aŋ·gyə·lər ′nəm·bərz]

(mathematics)

The numbers 1, 3, 6, 10, …, which are the numbers of dots in successive triangular arrays, and are given by the expression (n+ 1)(n/2), wheren= 1, 2, 3,….

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No references found			uk *We received no correct entries, but the answer to the Dr Math's puzzle from October 30, to find four different ways of making 49 with triangular numbers, are; 1+3+45, 3+10+36, 6+15+28, and 21+28. DR MATHS by Evening Chronicle (Newcastle, England) He covers Ramanujan's work in congruences for p(n) and r(n), sums of squares and sums of triangular numbers, Eisenstein series, the connection between hypergeometric functions and theta functions and the applications of the primary theorem, and the Rogers-Ramanujan continued fraction. Number theory in the spirit of Ramanujan by SciTech Book News 2] Triangular numbers [ILLUSTRATION OMITTED] 1 1 3 1 + 2 6 1 + 2 + 3 10 1 + 2 + 3 + 4 15 1 + 2 + 3 + 4 + 5 . Surprisingly Square by PETERSON, IVARS / Science News			trialware triamcinolone triamyl borate triamylamine Triandafillov, Vladimir Triandafillov, Vladimir Kiriakovich triandrous Triangle triangle cut triangle equation triangle inequality triangle of forces triangle of vectors triangle of velocities triangle setup Triangle Shirtwaist Co. fire Triangle Waist Company triangulable space triangular arch triangular dormer triangular facet triangular fret molding triangular ligament triangular matrix triangular method triangular numbers triangular pediment triangular prism triangular pulse triangular pyramid triangular wave triangular-notch weir triangulate Triangulation triangulation mark triangulation problem Triangulation Station Triangulum Triangulum Australe Triangulum Nebula Trianon Trianon, Treaty Trianon, Treaty of Trianon, Treaty of 1920 triapsidal Triarylmethane Dye Triassic Triassic Period Triassic System Period triathlon triatomic			Triangular distress pattern Triangular distress pattern triangular dormer triangular dullness Triangular element Triangular element Triangular Face triangular facet Triangular Fibrocartilage Complex Triangular form triangular fossa triangular fret molding triangular fret molding Triangular graph Triangular gyrobicupola Triangular Inequalities Triangular inequality Triangular lattice triangular ligament triangular ligaments Triangular matrices Triangular matrix Triangular Matrix-Matrix triangular method Triangular Microstrip Antenna triangular muscle triangular muscle triangular muscle Triangular number Triangular number triangular numbers Triangular Patch Moment Method triangular pediment Triangular Picture Element triangular prism triangular prism Triangular Probability Density Function triangular pulse Triangular pyramid Triangular pyramid triangular ridge triangular ridge triangular ridge triangular ridges Triangular Theory of Love Scale Triangular trade Triangular Vector Error Correction Model triangular wave triangular-notch weir Triangulares Triangulares Triangularis Triangularis triangularity triangularity triangularly triangularly triangulate triangulate triangulate triangulated

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