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Search: id:A131066
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| A131066 |
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Binomial transform of [1, 1, 6, 6, 6,...]. |
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+0
9
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| 1, 2, 9, 28, 71, 162, 349, 728, 1491, 3022, 6089, 12228, 24511, 49082, 98229, 196528, 393131, 786342, 1572769, 3145628, 6291351, 12582802, 25165709, 50331528, 100663171, 201326462, 402653049, 805306228, 1610612591, 3221225322
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums of triangle A131065. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 20 2007
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FORMULA
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a(n)=6*2^n-5n-5. G.f.=(1-2x+6x^2)/[(1-2x)(1-x)^2]. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 20 2007
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EXAMPLE
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a(3) = 28 = sum of row 4 of triangle A131065: (1 + 13 + 13 + 1).
a(3) = 28 = (1, 3, 3, 1) dot (1, 1, 6, 6) = (1 + 3 + 18 + 6).
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MAPLE
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a := proc (n) options operator, arrow; 6*2^n-5*n-5 end proc: seq(a(n), n = 0 .. 30); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 20 2007
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CROSSREFS
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Cf. A131060, A131061, A131062, A131063, A131064, A131065, A109128.
Sequence in context: A100293 A001093 A121643 this_sequence A058877 A026087 A109188
Adjacent sequences: A131063 A131064 A131065 this_sequence A131067 A131068 A131069
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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), Jun 13 2007
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EXTENSIONS
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Corrected and extended by Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 20 2007
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