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Search: id:A048496
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A048496 2^(n-1)*(3n-4)+3. +0
3
1, 2, 7, 23, 67, 179, 451, 1091, 2563, 5891, 13315, 29699, 65539, 143363, 311299, 671747, 1441795, 3080195, 6553603, 13893635, 29360131, 61865987, 130023427, 272629763, 570425347, 1191182339, 2483027971, 5167382531 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=5*a(n-1)-8*a(n-2)+4*a(n-3). G.f.: (1-3x+5x^2)/((1-x)(1-2x)^2). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 31 2008]

CROSSREFS

a(n)=T(2, n), array T given by A048494.

n-th difference of a(n), a(n-1), ..., a(0) is (1, 4, 7, 10, ...).

a(n) = A027992(n-1)+1 = A053565(n)+3.

Sequence in context: A041159 A034546 A010748 this_sequence A037488 A129669 A037568

Adjacent sequences: A048493 A048494 A048495 this_sequence A048497 A048498 A048499

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

EXTENSIONS

Formula from Ralf Stephan (ralf(AT)ark.in-berlin.de), Jan 15 2004

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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