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A076816 Squares modulo triangular numbers: n^2 minus the greatest triangular number smaller than or equal to n^2. +0
2
0, 0, 1, 3, 1, 4, 0, 4, 9, 3, 9, 1, 8, 16, 6, 15, 3, 13, 24, 10, 22, 6, 19, 1, 15, 30, 10, 26, 4, 21, 39, 15, 34, 8, 28, 0, 21, 43, 13, 36, 4, 28, 53, 19, 45, 9, 36, 64, 26, 55, 15, 45, 3, 34, 66, 22, 55, 9, 43, 78, 30, 66, 16, 53, 1, 39, 78, 24, 64, 8, 49, 91, 33, 76, 16, 60, 105, 43 (list; graph; listen)
OFFSET

0,4

FORMULA

a(n)=n^2-floor(sqrt(2*n^2+1/4)-1/2)*floor(sqrt(2*n^2+1/4)+1/2)/2

MAPLE

seq(n^2-floor(sqrt(2*n^2+1/4)-1/2)*floor(sqrt(2*n^2+1/4)+1/2)/2, n=0..100);

CROSSREFS

Cf. A064784.

Sequence in context: A125162 A123730 A130540 this_sequence A021765 A051512 A079668

Adjacent sequences: A076813 A076814 A076815 this_sequence A076817 A076818 A076819

KEYWORD

nonn,easy

AUTHOR

Floor van Lamoen (fvlamoen(AT)hotmail.com), Oct 17 2002

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Last modified September 7 23:08 EDT 2008. Contains 143486 sequences.


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