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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 (list; table; graph; refs; listen; history; text; internal format)
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: A011057 A082236 A262027 * A278117 A153188 A193976

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

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Last modified December 14 12:28 EST 2018. Contains 318097 sequences. (Running on oeis4.)