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Search: id:A145766
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A145766 Partial sums of A020988. +0
1
0, 2, 12, 54, 224, 906, 3636, 14558, 58248, 233010, 932060, 3728262, 14913072, 59652314, 238609284, 954437166, 3817748696, 15270994818, 61083979308, 244335917270, 977343669120, 3909374676522, 15637498706132, 62549994824574 (list; graph; listen)
OFFSET

0,2

COMMENT

In a C/C++ style of notation, the update from a(n-1) to a(n) can be written as a+=(a+=n+a).

FORMULA

a(n) = sum_{i=0..n} A020988(i). a(n+1)-a(n)=A020988(n+1).

a(n) = 2*(4^(n+1)-3n-4)/9 = 2*A014825(n). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 21 2008

MATHEMATICA

lst={}; s=0; Do[s+=(s+=n+s); AppendTo[lst, s], {n, 0, 5!}]; lst

CROSSREFS

Cf. A020988.

Sequence in context: A055703 A006738 A111642 this_sequence A122676 A038175 A025171

Adjacent sequences: A145763 A145764 A145765 this_sequence A145767 A145768 A145769

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 18 2008

EXTENSIONS

Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 21 2008

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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