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A144335
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Row sums of triangle A144334, binomial transform of [1, 2, 6, 7, 3, 0, 0, 0,...]
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1
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1, 3, 11, 32, 76, 156, 288, 491, 787, 1201, 1761, 2498, 3446, 4642, 6126, 7941, 10133, 12751, 15847, 19476, 23696, 28568, 34156, 40527, 47751, 55901, 65053, 75286, 86682, 99326, 113306, 128713, 145641, 164187, 184451, 206536, 230548, 256596
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| G.f.: (1-2x+6x^2-3x^3+x^4)x/(1-x)^5. a(n) = 1 -5n/12 +3n^2/8 -n^3/12 +n^4/8. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 18 2008]
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EXAMPLE
| a(5) = 76 = (1, 4, 6, 4, 1) dot (1, 2, 6, 3, 7) = (1 + 8 + 36, + 28 + 3).
a(3) = 11 = sum of row 3 terms of triangle A144334: (4 + 3 + 4).
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CROSSREFS
| A144334
Sequence in context: A076477 A104079 A089620 * A202091 A120844 A110958
Adjacent sequences: A144332 A144333 A144334 * A144336 A144337 A144338
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KEYWORD
| nonn
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 18 2008
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EXTENSIONS
| Extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 18 2008
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