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A132308
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Row sums of triangle A132307.
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1
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1, 4, 15, 50, 157, 480, 1451, 4366, 13113, 39356, 118087, 354282, 1062869, 3188632, 9565923, 28697798, 86093425, 258280308, 774840959, 2324522914, 6973568781, 20920706384, 62762119195, 188286357630, 564859072937, 1694577218860
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..25.
Index to sequences with linear recurrences with constant coefficients, signature (5,-7,3).
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FORMULA
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Binomial transform of A077552.
a(n)=2*3^n-n-1 [From Rolf Pleisch, Sep 26 2010]
G.f.: (1-x+2*x^2)/((1-3*x)*(1-x)^2) - Bruno Berselli, Mar 31 2011
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EXAMPLE
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a(2) = 15 = sum of row 2 terms of triangle A132307: (7 + 7 + 1).
a(2) = 15 = (1, 2, 1) dot (1, 3, 8) = (1 + 6 + 8); where A077552 = (1, 3, 8, 16, 32, 64,...).
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MATHEMATICA
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s=1; lst={s}; Do[s+=(n+=s++)+n; AppendTo[lst, s], {n, 0, 5!, 1}]; lst [From Vladimir Joseph Stephan Orlovsky, Nov 15 2008]
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CROSSREFS
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Cf. A132307, A132309, A077552.
Sequence in context: A053406 A225265 A143215 * A026110 A056327 A026328
Adjacent sequences: A132305 A132306 A132307 * A132309 A132310 A132311
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson, Aug 18 2007
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EXTENSIONS
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More terms and Mathematica program Vladimir Joseph Stephan Orlovsky, Nov 15 2008
Removed wrong formula 2*n^3-n-1 Rolf Pleisch, Oct 19 2010
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STATUS
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approved
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