|
%I #5 Nov 21 2013 12:48:00
%S 1,2,8,3,14,34,4,20,54,104,5,26,74,154,259,6,32,94,204,364,560,7,38,
%T 114,254,469,756,1092,8,44,134,304,574,952,1428,1968,9,50,154,354,679,
%U 1148,1764,2508,3333,10,56,174,404,784,1344,2100,3048,4158,5368,11,62,194
%N Triangle read by rows in which each term represents the total area of all the squares found in the grid described in sequence A082652.
%F T(l, c) = ( 5*l*c^4 + 20*l*c^3 + 25*l*c^2 + 10*l*c + 10*c^2 + 8*c - 3*c^5 - 10*c^4 - 5*c^3 ) / 60
%e The triangle (with columns labeled c = 1, 2, ... and rows labeled l = 1, 2, ...) begins:
%e 1
%e 2 8
%e 3 14 34
%e 4 20 54 104
%e 5 26 74 154 259
%e 6 32 94 204 364 560
%e 7 38 114 254 469 756 1092
%e 8 44 134 304 574 952 1428 1968
%t Flatten[Table[Table[(5l c^4+20l c^3+25l c^2+10l c+10c^2+8c-3c^5-10c^4- 5c^3)/60,{c,l}],{l,12}]] (* _Harvey P. Dale_, Aug 19 2011 *)
%Y Cf. A082652, A083487.
%K nonn,tabl
%O 1,2
%A Artemario Tadeu Medeiros da Silva (artemario(AT)uol.com.br), May 30 2003
|
