Triangle read by rows in which the n-th row begins with n and contains n terms of an Arithmetic progression with a common difference of (n-1).

4

`%I #13 May 14 2023 17:02:43
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`%S 1,2,3,3,5,7,4,7,10,13,5,9,13,17,21,6,11,16,21,26,31,7,13,19,25,31,37,
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`%T 43,8,15,22,29,36,43,50,57,9,17,25,33,41,49,57,65,73,10,19,28,37,46,
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`%U 55,64,73,82,91,11,21,31,41,51,61,71,81,91,101,111,12,23,34,45,56,67,78,89
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`%N Triangle read by rows in which the n-th row begins with n and contains n terms of an Arithmetic progression with a common difference of (n-1).
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`%C n-th row sum gives the sum corresponding to the magic square of order n.
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`%H Harvey P. Dale, <a href="/A081493/b081493.txt">Table of n, a(n) for n = 1..1000</a>
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`%F T(i, j) = i+(i-1)*(j-1) - _David Wasserman_, Jun 03 2004
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`%e 1; 2,3; 3,5,7; 4,7,10,13; 5,9,13,17,21; 6,11,16,21,26,31; ...
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`%t Table[NestList[#+n-1&,n,n-1],{n,20}]//Flatten (* _Harvey P. Dale_, May 14 2023 *)
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`%K nonn,tabl
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`%O 1,2
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`%A _Amarnath Murthy_, Mar 25 2003
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`%E Corrected and extended by _David Wasserman_, Jun 03 2004
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