hi, masters ! look at this thing carefully : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ................. find the line and the column where the number 795471 will appear !


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Question Number 141087 by greg_ed last updated on 15/May/21

$hi, masters!$ $look at this thing carefully :$ $1$ $2 3 4$ $5 6 7 8 9$ $10 11 12 13 14 15 16$ $17 18 19 20 . . . . . . . . . . . . . . . . .$ $find the line and the column where the number 795471 will appear!$
	Answered by talminator2856791 last updated on 08/Sep/21

	$⌈ \sqrt{795471} ⌉ = ⌈ 891.89181 ⌉ = 892$ $892 is the line$ $795471 - 891^{2} = 1590$ $1590 th column counting from most left$
	Answered by qaz last updated on 15/May/21

	$1, 3, 7, 13, 21, . . . 1 . . . 1 . . . . . . 1$ $2 4 6 8 2 . . . 3 . . . . . . 3$ $2 2 2 3 . . . 7 . . . . . . 5$ $4 . . . 13 . . . . 7$ $. . . . . . . . . . . .$ $n . . . a_{n} . . . . T n$ $S_{n} = (\begin{matrix} n \\ 1 \end{matrix}) + 2 (\begin{matrix} n \\ 2 \end{matrix}) + 2 (\begin{matrix} n \\ 3 \end{matrix})$ $a_{n} = S_{n} - S_{n - 1} = n^{2} - n + 1$ $795471 = n^{2} - n + 1 \Rightarrow l = n \approx 892$ $I f n = 892, n u m b e r 794773 i s a t [l : 892, c : 892]$ $795471 - 794773 = 698$ $S o 795471 i s a t [l : 892, c : 1590]$
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