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Search: id:A116668
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| A116668 |
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Binomial transform of (1,3,5,0,0,0...). |
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+0
2
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| 1, 4, 12, 25, 43, 66, 94, 127, 165, 208, 256, 309, 367, 430, 498, 571, 649, 732, 820, 913, 1011, 1114, 1222, 1335, 1453, 1576, 1704, 1837, 1975, 2118, 2266, 2419, 2577, 2740, 2908, 3081, 3259, 3442, 3630, 3823, 4021, 4224, 4432, 4645, 4863, 5086, 5314, 5547
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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Product of Pascal's triangle as an infinite lower triangular matrix and the vector (1,3,5,0,0,0...)
a(n)=(1/2)(5n^2+n+2). - Emeric Deutsch (deutsch(AT)duke.poly.edu), Feb 28 2006
O.g.f.: -(1+x+3*x^2)/(-1+x)^3. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008
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EXAMPLE
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a(3)=1*1+3*3+3*5+1*0=25.
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MAPLE
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a:=n->(5*n^2+n+2)/2: seq(a(n), n=0..50); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Feb 28 2006
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CROSSREFS
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Cf. A116666.
Sequence in context: A008212 A008080 A008157 this_sequence A008186 A008264 A000297
Adjacent sequences: A116665 A116666 A116667 this_sequence A116669 A116670 A116671
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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), Feb 22 2006
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Feb 28 2006
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