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A034729 a(n) = Sum_{ k, k|n } 2^(k-1). +0
6
1, 3, 5, 11, 17, 39, 65, 139, 261, 531, 1025, 2095, 4097, 8259, 16405, 32907, 65537, 131367, 262145, 524827, 1048645, 2098179, 4194305, 8390831, 16777233, 33558531, 67109125, 134225995, 268435457, 536887863, 1073741825, 2147516555 (list; graph; listen)
OFFSET

1,2

COMMENT

Dirichlet convolution of b_n=1 with c_n=2^(n-1).

Equals row sums of triangle A143425, & inverse Mobius transform (A051731) of [1, 2, 4, 8,...]. [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 14 2008]

FORMULA

G.f.: Sum_{n>0} x^n/(1-2*x^n). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Nov 14 2002

CROSSREFS

Cf. A034730.

Sequence in context: A060647 A125557 A007455 this_sequence A115786 A128550 A096479

A051731, A143425 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 14 2008]

Adjacent sequences: A034726 A034727 A034728 this_sequence A034730 A034731 A034732

KEYWORD

nonn,new

AUTHOR

Erich Friedman (erich.friedman(AT)stetson.edu)

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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