A083003 Triangle read by rows in which each term represents the total area of all the squares found in the grid described in sequence A082652.

1, 2, 8, 3, 14, 34, 4, 20, 54, 104, 5, 26, 74, 154, 259, 6, 32, 94, 204, 364, 560, 7, 38, 114, 254, 469, 756, 1092, 8, 44, 134, 304, 574, 952, 1428, 1968, 9, 50, 154, 354, 679, 1148, 1764, 2508, 3333, 10, 56, 174, 404, 784, 1344, 2100, 3048, 4158, 5368, 11, 62, 194

Offset: 1

Author

Artemario Tadeu Medeiros da Silva (artemario(AT)uol.com.br), May 30 2003

Keywords

• nonn
• tabl

Examples

			The triangle (with columns labeled c = 1, 2, ... and rows labeled l = 1, 2, ...) begins:
1
2 8
3 14 34
4 20 54 104
5 26 74 154 259
6 32 94 204 364 560
7 38 114 254 469 756 1092
8 44 134 304 574 952 1428 1968
		

Crossrefs

Cf. A082652, A083487.

Programs

Mathematica

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 *)

Formula

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