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A083003
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Triangle read by rows in which each term represents the total area of all the squares found in the grid described in sequence A082652.
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3
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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
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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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
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EXAMPLE
| 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
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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}]] (* From Harvey P. Dale, Aug 19 2011 *)
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CROSSREFS
| Cf. A082652, A083487.
Sequence in context: A076696 A011057 A082236 * A153188 A193976 A126951
Adjacent sequences: A083000 A083001 A083002 * A083004 A083005 A083006
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KEYWORD
| nonn,tabl
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AUTHOR
| Artemario Tadeu Medeiros da Silva (artemario(AT)uol.com.br), May 30 2003
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