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Triangular numbers
(redirected from Triangular number)

   Also found in: Encyclopedia, Wikipedia 0.01 sec.
(Math.) the series of numbers formed by the successive sums of the terms of an arithmetical progression, of which the first term and the common difference are 1. See Figurate numbers, under Figurate.

See also: Triangular



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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.
In two earlier articles in this journal, we described Grade 1 students' use of pattern imagery and structural awareness when they solved triangular number and area tasks (Mulligan, Prescott, & Mitchelmore, 2003; Mulligan, Prescott, Mitchelmore, & Outhred, 2005).
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.
 
 
 
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