pronic English
Adjective
()
(mathematics) Of a number which is the product of two consecutive integers
*1478  Pierpaolo Muscharello, Algorismus'' p.163.[Jens Høyrup, ]"What did the abbacus teachers aim at when they (sometimes) ended up doing mathematics?" , ''New perspectives on mathematical practices , pp.4775, World Scientific, 2009 ISBN 9812812229.
*:Pronic' root is as if you say, 9 times 9 makes 81. And now take the root of 9, which is 3, and this 3 is added above 81: it makes 84, so that the ' pronic root of 84 is said to be 3.
*1794  David Wilkie, Theory of interest , p.6, Edinburgh: Peter Hill, 1794.
*:When a'' = 2, and ''d'' = 2 also, in this case, in equation 1st, ''s''=''n''^{2} + ''n'' = ''a'' pronic''' number, which is produced by the addition of even numbers in an arithmetic progression beginning at 2; and the ' pronic root $\backslash scriptstyle\; n\; =\; \backslash frac\; \{\backslash sqrt\; \{4s\; +1\}\; \; 1\}\{2\}$.
*1804'  Paul Deighan, "Recommendatory letters" , ''A complete treatise on arithmetic, rational and practical'', ' vol.1 , p.viii, Dublin: J. Jones, 1804.
*:As I admire each proposition fair,
*:the pronic number and the perfect square,
*:the puzzling intricate equation solv'd,
*:as Grecia's chief the Gordian knot dissolv'd;
*::  John Bartley
*1814  Charles Butler, Easy Introduction to Mathematics , p.96, Barlett & Newman, 1814
*:A pronic' number is that which is equal to the sum of a square number and its root. Thus, 6, 12, 20, 30, &c. are ' pronic numbers.
*1998  Wayne L. McDaniel, "Pronic Lucas Numbers" , The Fibonacci Quarterly , pp.6062, 1998.
*:It may be noted that if L''_{n} is a pronic number, then ''L _{n} is two times a triangular number.
*2005'  G. K. Panda1 and P. K. Ray, "Cobalancing numbers and cobalancers" , ''International Journal of Mathematics and Mathematical Sciences'', ' vol.2005 , iss.8, pp.11891200.
*:Thus, our search for cobalancing number is confined to the pronic' triangular numbers, that is, triangular numbers that are also ' pronic numbers.
Synonyms
* heteromecic
Related terms
* rectangular number
* oblong number
References

pionic English
Adjective
()
(physics) Of, pertaining to, or composed of pions.
