

A109678


Sequence and first differences include all square numbers exactly once.


0



1, 5, 14, 30, 55, 91, 140, 204, 285, 385, 506, 650, 819, 1015, 1240, 1496, 1785, 2109, 2470, 2870, 3311, 3795, 4324, 4900, 5525, 6201, 6930, 7714, 8555, 9455, 10416, 11440, 12529, 13685, 14910, 16206, 17575, 19019, 20540, 22140, 23821, 25585
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OFFSET

1,2


COMMENTS

This sequence diverges from A000330 as 4900 (which is 70^2) appears in the sequence itself  thus won't be added to any a(n).


LINKS

Table of n, a(n) for n=1..42.


EXAMPLE

Superpose sequence and first differences:
1 5 14 30 55 91 140 204 285 385 506 650 819 1015
.4.9..16..25..36..49...64...81...100...121...144...169...196
All square numbers appear once and only once, either in the sequence itself or in the first differences.


CROSSREFS

Sequence in context: A231681 A231685 A074784 * A000330 A266783 A266784
Adjacent sequences: A109675 A109676 A109677 * A109679 A109680 A109681


KEYWORD

base,easy,nonn


AUTHOR

Eric Angelini, Aug 30 2005


EXTENSIONS

Two programs removed that were reproducing A000030 and therefore erroneous.  R. J. Mathar, Mar 06 2013


STATUS

approved



