|
Search: id:A134483
|
|
|
| A134483 |
|
Triangle read by rows: T(n,k)=2n+k-2; 1<=k<=n. |
|
+0
2
|
|
| 1, 3, 4, 5, 6, 7, 7, 8, 9, 10, 9, 10, 11, 12, 13, 11, 12, 13, 14, 15, 6, 13, 14, 15, 16, 17, 18, 19, 15, 16, 17, 18, 19, 20, 21, 22, 17, 18, 19, 20, 21, 22, 23, 24, 25, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28
(list; table; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Row sums = the heptagonal numbers, A000566: (1, 7, 18, 34, 55, 81,...).
Row n consists of n consecutive integers starting with 2n-1. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 04 2007
|
|
FORMULA
|
T(n,k)=2n+k-2 for 1<=k<=n. G.f.= tz(1+z+2tz-4tz^2)/[(1-z)^2(1-tz)^2] - Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 04 2007
|
|
EXAMPLE
|
First few rows of the triangle are:
1;
3, 4;
5, 6, 7;
7, 8, 9, 10;
9, 10, 11, 12, 13;
...
|
|
MAPLE
|
for n to 10 do seq(2*n+k-2, k=1..n) end do; # yields sequence in triangular form - Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 04 2007
|
|
CROSSREFS
|
Cf. A000566.
Sequence in context: A095254 A121857 A121854 this_sequence A121151 A088243 A004492
Adjacent sequences: A134480 A134481 A134482 this_sequence A134484 A134485 A134486
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 27 2007
|
|
|
Search completed in 0.002 seconds
|
