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Search: id:A145070
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| 3, 9, 20, 40, 77, 147, 282, 546, 1067, 2101, 4160, 8268, 16473, 32871, 65654, 131206, 262295, 524457, 1048764, 2097360, 4194533, 8388859, 16777490, 33554730, 67109187, 134218077, 268435832, 536871316, 1073742257, 2147484111
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(1) = 3; a(n) = a(n-1) + 2^n + n for n > 1.
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EXAMPLE
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a(2) = a(1) + 2^2 + 2 = 3 + 4 + 2 = 9; a(3) = a(2) + 2^3 + 3 = 9 + 8 + 3 = 20.
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MATHEMATICA
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lst={}; s=0; Do[s+=2^n+n; AppendTo[lst, s], {n, 5!}]; lst
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PROGRAM
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(ARIBAS) a:=0; for n:=1 to 30 do a:=a+2**n+n; write(a, ", "); end;
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CROSSREFS
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Cf. A006127 (2^n + n), A000325 (2^n - n), A048492 (partial sums of A000325, starting at n=1).
Sequence in context: A037257 A145068 A027114 this_sequence A011796 A164680 A073801
Adjacent sequences: A145067 A145068 A145069 this_sequence A145071 A145072 A145073
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 30 2008
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EXTENSIONS
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Edited. - Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 14 2008
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