|
Search: id:A133263
|
|
|
| A133263 |
|
Binomial transform of (1, 2, 0, 1, -1, 1, -1, 1,...). |
|
+0
2
|
|
| 1, 3, 5, 8, 12, 17, 23, 30, 38, 47, 57, 68, 80, 93, 107, 122, 138, 155, 173, 192, 212, 233, 255, 278, 302, 327, 353, 380, 408, 437, 467, 498, 530, 563, 597, 632, 668, 705, 743, 782, 822, 863, 905, 948, 992, 1037, 1083, 1130, 1178, 1227, 1277
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
FORMULA
|
A007318 * [1, 2, 0, 1, -1, 1, -1, 1,...]. Left column of A134249
a(n)=(n^2 + n + 4)/2 G.f.=(1-x^2+x^3)/(1-x)^3. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 12 2007
a(n)= A000124(n)+1, n>=1. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 12 2008
a(1)=1, a(2)=3; for n>=3, a(n)=a(n-1)+n-1. - Philippe Lallouet (philip.lallouet(AT)orange.fr), May 27 2008
|
|
EXAMPLE
|
a(3) = 8 = (1, 3, 3, 1) dot (1, 2 0, 1) = (1 + 6 + 0 + 1).
|
|
MAPLE
|
1, seq((n^2+n+4)*1/2, n=1..50); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 12 2007
a:=n->sum((stirling2(j+1, n)), j=0..n):seq(a(n)+1, n=0..50); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 12 2008
|
|
MATHEMATICA
|
i=-1; s=3; lst={Abs[i]}; Do[s+=n+i; If[s>2, AppendTo[lst, s]], {n, 0, 5!, 1}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 30 2008]
|
|
CROSSREFS
|
Cf. A134249.
Sequence in context: A095173 A002579 A023544 this_sequence A038088 A018917 A167385
Adjacent sequences: A133260 A133261 A133262 this_sequence A133264 A133265 A133266
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 15 2007
|
|
EXTENSIONS
|
More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 12 2007
|
|
|
Search completed in 0.002 seconds
|
