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T numbers On the following 10 x 10 number grid 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 . . . . . . . . . . T1 is the total of 1 2 3 12 22 1+2+3+12+22 = 40 T15 is the total of 15 16 17 26 36 15+16+17+26+36 = 110 TN is the total of N N+1 N+2 N+1+10 N+1+20 N+(N+1)+(N+2)+(N+1+10)+(N+1+20) = 5N+35 For a grid 10 x 10 and a T three wide and 2 high the total is TN = 5N + 35 Change height, that is the width stays as three but change the height to 3 Then T1 = 1 2 3 12 22 32 T1 is the total of 1+2+3+12+22+32 = 72 This is just 32 (N+1 +30) more than the previous total for 2 high. For TN total is 6N + 66 In general N N+1 N+2 N+1+10 N+1+20 N+1+30 The top row is N+N+1+N+2 = 3N+3 The down column is N+1+10+N+1+20+N+1+30 = 3N +3+60 = 3N+63 Total for TN = 3N+3+3N+63 = 6N + 66 For height = 2 TN = 5N+35 For height = 3 TN = 6N+66 ( 5N+35 + (N+1+30) ) N N+1 N+2 N N+1 N+2 N+1+10 N+1+10 N+1+20 N+1+20 N+1+30 For height = 4 TN = height = 3+ N+1+40 (the next square down) = 6N+66 +N+1+40...

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