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A143131
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Binomial transform of [1, 4, 10, 20, 0, 0, 0,...].
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1, 5, 19, 63, 157, 321, 575, 939, 1433, 2077, 2891, 3895, 5109, 6553, 8247, 10211, 12465, 15029, 17923, 21167, 24781, 28785, 33199, 38043, 43337, 49101, 55355, 62119, 69413, 77257, 85671, 94675, 104289, 114533, 125427, 136991, 149245
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| Binomial transform of [1, 4, 10, 20, 0, 0, 0,...], where (1, 4, 10, 20) = row 3 of triangle A046899
a(n) = (-39 + 77 n - 45 n^2 + 10 n^3)/3 [From T. D. Noe (noe(AT)sspectra.com), Aug 22 2008]
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EXAMPLE
| a(4) = 63 = (1, 3, 3, 1) dot (1, 4, 10, 20) = (1 + 12 + 30 + 20).
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CROSSREFS
| Cf. A046899.
Sequence in context: A072111 A173627 A141397 * A036677 A003296 A053545
Adjacent sequences: A143128 A143129 A143130 * A143132 A143133 A143134
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KEYWORD
| nonn
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 27 2008
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EXTENSIONS
| More terms from T. D. Noe (noe(AT)sspectra.com), Aug 22 2008
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