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%I #13 Feb 17 2014 06:48:38
%S 0,0,1,0,1,0,1,2,0,1,2,0,1,2,0,1,2,3,0,1,2,3,0,1,2,3,0,1,2,3,0,1,2,3,
%T 4,0,1,2,3,4,0,1,2,3,4,0,1,2,3,4,0,1,2,3,4,0,1,2,3,4,5,0,1,2,3,4,5,0,
%U 1,2,3,4,5,0,1,2,3,4,5,0,1,2,3,4,5,0,1,2,3,4,5
%N Zero-based column index to irregular tables organized as successively larger square matrices.
%C With sequences constructed of successively larger square matrices (cf. A074279), a(n) will return the distance of n from the left edge of the matrix that n is located in, with 0 standing for the leftmost column (please see the Example section).
%C A237452 gives the corresponding row index.
%C A238013 and A121997 give these same row and column indices, starting the numbering with index 1. - M. F. Hasler, Feb 17 2014
%H Antti Karttunen, <a href="/A237451/b237451.txt">Table of squares with sizes 1x1 .. 30x30, flattened</a>
%F a(n) = (A064866(n)-1) modulo A074279(n).
%F a(n) = A121997(n)-1. - _M. F. Hasler_, Feb 16 2014
%e This irregular table begins as:
%e 0;
%e 0,1;
%e 0,1;
%e 0,1,2;
%e 0,1,2;
%e 0,1,2;
%e 0,1,2,3;
%e 0,1,2,3;
%e 0,1,2,3;
%e 0,1,2,3;
%e 0,1,2,3,4;
%e 0,1,2,3,4;
%e 0,1,2,3,4;
%e 0,1,2,3,4;
%e 0,1,2,3,4;...
%o (Scheme) (define (A237451 n) (modulo (-1+ (A064866 n)) (A074279 n)))
%Y Cf. A002262, A064866, A074279, A237452, A237265.
%K nonn,tabf,easy
%O 1,8
%A _Antti Karttunen_, Feb 08 2014
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