|
Search: id:A143088
|
|
|
| A143088 |
|
Symmetrical triangle sequence: t(n,m)=(2^(m + 1) - 1)*(2^(n - m + 1) - 1). |
|
+0
2
|
|
| 1, 3, 3, 7, 9, 7, 15, 21, 21, 15, 31, 45, 49, 45, 31, 63, 93, 105, 105, 93, 63, 127, 189, 217, 225, 217, 189, 127, 255, 381, 441, 465, 465, 441, 381, 255, 511, 765, 889, 945, 961, 945, 889, 765, 511, 1023, 1533, 1785, 1905, 1953, 1953, 1905, 1785, 1533, 1023, 2047
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Row sums are:{1, 6, 23, 72, 201, 522, 1291, 3084, 7181, 16398, 36879}.
|
|
FORMULA
|
t(n,m)=(2^(m + 1) - 1)*(2^(n - m + 1) - 1).
|
|
EXAMPLE
|
{1},
{3, 3},
{7, 9, 7},
{15, 21, 21, 15},
{31, 45, 49, 45, 31},
{63, 93, 105, 105, 93, 63},
{127, 189, 217, 225, 217, 189, 127},
{255, 381, 441, 465, 465, 441, 381, 255},
{511, 765, 889, 945, 961, 945, 889, 765, 511},
{1023, 1533, 1785, 1905, 1953, 1953, 1905, 1785, 1533, 1023},
{2047, 3069, 3577, 3825, 3937, 3969, 3937, 3825, 3577, 3069, 2047}
|
|
MATHEMATICA
|
Table[Table[(2^(m + 1) - 1)*(2^(n - m + 1) - 1), {m, 0, n}], {n, 0, 10}]; Flatten[%]
|
|
CROSSREFS
|
Sequence in context: A116157 A056357 A144554 this_sequence A131036 A034411 A066983
Adjacent sequences: A143085 A143086 A143087 this_sequence A143089 A143090 A143091
|
|
KEYWORD
|
nonn,uned
|
|
AUTHOR
|
Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Oct 16 2008
|
|
|
Search completed in 0.002 seconds
|
