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Search: id:A133263
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| A133263 |
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Binomial transform of (1, 2, 0, 1, -1, 1, -1, 1,...). |
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+0
1
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| 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)
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OFFSET
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0,2
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FORMULA
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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
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EXAMPLE
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a(3) = 8 = (1, 3, 3, 1) dot (1, 2 0, 1) = (1 + 6 + 0 + 1).
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MAPLE
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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
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MATHEMATICA
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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]
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CROSSREFS
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Cf. A134249.
Sequence in context: A095173 A002579 A023544 this_sequence A038088 A018917 A098202
Adjacent sequences: A133260 A133261 A133262 this_sequence A133264 A133265 A133266
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 15 2007
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 12 2007
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