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A048470
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a(n) = (n+1)*(2^(n+1)-n)/2.
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1
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1, 3, 9, 26, 70, 177, 427, 996, 2268, 5075, 11209, 24510, 53170, 114597, 245655, 524168, 1113976, 2359143, 4980565, 10485570, 22019886, 46137113, 96468739, 201326316, 419430100, 872414907, 1811938977, 3758096006, 7784627818
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| a(n) = T(0,n)+T(1,n-1)+...+T(n,0), array T given by A047858.
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
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FORMULA
| G.f.: (-1+5*x^3-7*x^2+4*x)/((2*x-1)^2*(x-1)^3) [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 13 2009]
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PROG
| (MAGMA) [(n+1)*(2^(n+1)-n)/2: n in [0..30]]; // Vincenzo Librandi, Sep 23 2011
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CROSSREFS
| Sequence in context: A035313 A055293 A034531 * A138237 A121286 A072863
Adjacent sequences: A048467 A048468 A048469 * A048471 A048472 A048473
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KEYWORD
| nonn,easy
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
| Edited by T. D. Noe, Dec 11 2006
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