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A110678 -n^2 - n + 72. 0
72, 70, 66, 60, 52, 42, 30, 16, 0, -18, -38, -60, -84, -110, -138, -168, -200, -234, -270, -308, -348, -390, -434, -480, -528, -578, -630, -684, -740, -798, -858, -920, -984, -1050, -1118, -1188, -1260, -1334, -1410, -1488, -1568, -1650, -1734, -1820, -1908, -1998, -2090, -2184, -2280, -2378, -2478, -2580, -2684, -2790 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

An example of the sequence of the difference of pronics. This is analogous to the difference of squares. Start at a pronic (72 in this case) and subtract successive pronics.

This is useful in finding prime numbers. As one varies the initial pronic all the even numbers are generated.

EXAMPLE

pr(3)= 60 when pr(i)= 72 pr(0)= 0, pr(1)= 2, pr(2)= 6, pr(3)= 12... pr(i)= 72.

CROSSREFS

Sequence in context: A036187 A035879 A033392 * A008943 A003898 A133899

Adjacent sequences:  A110675 A110676 A110677 * A110679 A110680 A110681

KEYWORD

easy,sign

AUTHOR

Stuart M. Ellerstein (ellerstein(AT)aol.com), Sep 14 2005

EXTENSIONS

Edited by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Jul 25 2010

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Last modified February 14 15:39 EST 2012. Contains 205635 sequences.