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 A237452 Zero-based row index to irregular tables organized as successively larger square matrices. 6
 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,12 COMMENTS With sequences constructed of successively larger kxk square matrices (cf. A074279), a(n) will return the distance of n from the top edge of the matrix that n is located in, with 0 standing for the topmost row in that matrix (please see the Example section). A237451 gives the corresponding column index. A238013 and A121997 give these same row and column indices, but starting the numbering with index 1. - M. F. Hasler, Feb 17 2014 LINKS Antti Karttunen, Table of squares with sizes 1x1 .. 30x30, flattened FORMULA a(n) = floor((A064866(n)-1)/A074279(n)). a(n) = A238013(n)-1. - M. F. Hasler, Feb 16 2014 EXAMPLE This irregular table begins as: 0; 0,0; 1,1; 0,0,0; 1,1,1; 2,2,2; 0,0,0,0; 1,1,1,1; 2,2,2,2; 3,3,3,3; 0,0,0,0,0; 1,1,1,1,1; 2,2,2,2,2; 3,3,3,3,3; 4,4,4,4,4; ... PROG (Scheme) (define (A237452 n) (floor->exact (/ (-1+ (A064866 n)) (A074279 n)))) CROSSREFS Cf. A064866, A074279, A237451, A237265, A238013 and A121997. Sequence in context: A308583 A093315 A204267 * A132784 A180834 A214458 Adjacent sequences: A237449 A237450 A237451 * A237453 A237454 A237455 KEYWORD nonn,tabf AUTHOR Antti Karttunen, Feb 08 2014 STATUS approved

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Last modified August 3 12:44 EDT 2024. Contains 374893 sequences. (Running on oeis4.)