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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
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OFFSET
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0,2
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COMMENTS
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a(n) = T(0,n) + T(1,n-1) + ... + T(n,0), array T given by A047858.
Sum of the consecutive integers from 2^n-n up to and including 2^n. - J. M. Bergot, Jun 27 2013
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LINKS
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FORMULA
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G.f.: (-1 + 5*x^3 - 7*x^2 + 4*x)/((2*x-1)^2*(x-1)^3). - Maksym Voznyy (voznyy(AT)mail.ru), Aug 13 2009
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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