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A140660 3*4^n+1. +0
4
4, 13, 49, 193, 769, 3073, 12289, 49153, 196609, 786433, 3145729, 12582913, 50331649, 201326593, 805306369, 3221225473, 12884901889, 51539607553, 206158430209, 824633720833, 3298534883329, 13194139533313, 52776558133249 (list; graph; listen)
OFFSET

0,1

FORMULA

a(n)= A002001(n+1)+1. a(n)=4a(n-1)-3.

First differences: a(n+1)-a(n)= A002063(n).

a(n+k)-a(n)= 3*(4^k-1)*A000302(n) = 9*A002450(k)*A000302(n).

a(n)=A140529(n)-A096045(n).

O.g.f.: (7x-4)/((1-x)(4x-1)). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 14 2008

CROSSREFS

Sequence in context: A096971 A149451 A149452 this_sequence A149453 A149454 A101125

Adjacent sequences: A140657 A140658 A140659 this_sequence A140661 A140662 A140663

KEYWORD

nonn

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Jul 10 2008

EXTENSIONS

Edited and extended R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 14 2008

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


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