OFFSET
0,2
COMMENTS
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
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
FORMULA
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
PROG
(Magma) [(n+1)*(2^(n+1)-n)/2: n in [0..30]]; // Vincenzo Librandi, Sep 23 2011
(PARI) a(n)=(n+1)*(2<<n-n)/2 \\ Charles R Greathouse IV, Jun 28 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
Edited by T. D. Noe, Dec 11 2006
STATUS
approved