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Search: id:A134869
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| 1, 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92, 106, 121, 137, 154, 172, 191, 211, 232, 254, 277, 301, 326, 352, 379, 407, 436, 466, 497, 529, 562, 596, 631, 667, 704, 742, 781, 821, 862, 904, 947, 991, 1036, 1082, 1129, 1177, 1226, 1276, 1327, 1379, 1432
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OFFSET
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1,2
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FORMULA
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Row sums of triangle A134868. a(n) = 1, then for n>1, a(n) = T(n) + 1, where A000217 = (1, 3, 6, 10, 15,...). Binomial transform of [1, 3, 0, 1, -1, 1, -1, 1,...].
G.f.: x(1+x-2x^2+x^3)/(1-x)^3. a(n)=1+A000217(n) = A000124(n), n>1. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 27 2008]
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EXAMPLE
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a(4) = 11 = sum of row 4 terms of triangle A134868: (2, + 2 + 3 + 4).
a(4) = 11 = 1 + 10, where 10 = T(4).
a(4) = 11 = (1, 3, 3, 1) dot (1, 3, 0, 1) = (1 + 9 + 0 + 1).
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MAPLE
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a:=n->sum((stirling2(j+1, n)), j=1..n):seq(a(n), n=1..50); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 12 2008
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CROSSREFS
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Cf. A134868, A000217.
Adjacent sequences: A134866 A134867 A134868 this_sequence A134870 A134871 A134872
Sequence in context: A134918 A078916 A057054 this_sequence A020683 A038835 A097403
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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), Nov 14 2007
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 27 2008
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