login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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.
3
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
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
Sequence in context: A362269 A262027 A328487 * A364130 A278117 A193976
KEYWORD
nonn,tabl
AUTHOR
Artemario Tadeu Medeiros da Silva (artemario(AT)uol.com.br), May 30 2003
STATUS
approved