|
Search: id:A127718
|
|
| |
|
| 1, 2, 2, 4, 6, 3, 8, 14, 12, 4, 16, 30, 33, 20, 5, 32, 62, 78, 64, 30, 6, 64, 126, 171, 168, 110, 42, 7, 128, 254, 360, 396, 320, 174, 56, 8, 256, 510, 741, 876, 815, 558, 259, 72, 9, 512, 1022, 1506, 1864, 1910, 1536, 910, 368, 90, 10, 1024, 2046, 3039, 3872, 4240
(list; table; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Binomial transform of A002260.
Row sums = A084851: (1, 4, 13, 38, 104, 272,...) A002260 * A007318 = A127717
|
|
FORMULA
|
T(n,k)=sum_{i=1..n} A007318(n-1,i-1)*A002260(i,k) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 02 2007
|
|
EXAMPLE
|
First few rows of the triangle are:
1;
2, 2;
4, 6, 3;
8, 14, 12, 4;
16, 30, 33, 20, 5;
32, 62, 78, 64, 30, 6;
64, 126, 171, 168, 110, 42, 7;
...
|
|
MAPLE
|
A007318 := proc(n, k) binomial(n, k) ; end: A002260 := proc(n, k) if k <= n then k; else 0 ; fi ; end: A127718 := proc(n, k) add( A007318(n-1, i-1)*A002260(i, k), i=1..n) ; end: for n from 1 to 15 do for k from 1 to n do printf("%d, ", A127718(n, k)) ; od: od: - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 02 2007
|
|
CROSSREFS
|
Cf. A002260, A007318, A084851, A127717.
Adjacent sequences: A127715 A127716 A127717 this_sequence A127719 A127720 A127721
Sequence in context: A010768 A143267 A113463 this_sequence A115068 A051495 A073256
|
|
KEYWORD
|
nonn,tabl,easy
|
|
AUTHOR
|
Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 25 2007
|
|
EXTENSIONS
|
More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 02 2007
|
|
|
Search completed in 0.002 seconds
|
