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

1,2

Links

Table of n, a(n) for n=1..58.

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

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

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 *)

Crossrefs

Cf. A082652, A083487.

Sequence in context: A362269 A262027 A328487 * A364130 A278117 A153188

Adjacent sequences: A083000 A083001 A083002 * A083004 A083005 A083006

Keyword

nonn,tabl

Author

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

Status

approved