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Search: id:A163834
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A163834 (4^n+5)/3. +0
2
2, 3, 7, 23, 87, 343, 1367, 5463, 21847, 87383, 349527, 1398103, 5592407, 22369623, 89478487, 357913943, 1431655767, 5726623063, 22906492247, 91625968983, 366503875927, 1466015503703, 5864062014807, 23456248059223, 93824992236887, 375299968947543 (list; graph; listen)
OFFSET

0,1

FORMULA

a(n) = (4^n+5)/3 = A135351(2*n+1) = A140966(2*n) = A153643(2*n).

a(n) = 5*a(n-1)-4*a(n-2). G.f.: (2-7*x)/((4*x-1)*(x-1)).

a(n+1)-a(n) = A000302(n).

CROSSREFS

Cf. A000027, A135351, A140966, A153643.

Sequence in context: A084710 A088173 A129739 this_sequence A002386 A000230 A133429

Adjacent sequences: A163831 A163832 A163833 this_sequence A163835 A163836 A163837

KEYWORD

nonn,easy

AUTHOR

Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Aug 05 2009

EXTENSIONS

Offset set to 0 by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 06 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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