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A133494 Diagonal of the array of iterated differences of A047848. +0
5
1, 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683, 59049, 177147, 531441, 1594323, 4782969, 14348907, 43046721, 129140163, 387420489, 1162261467, 3486784401, 10460353203, 31381059609, 94143178827, 282429536481, 847288609443 (list; graph; listen)
OFFSET

0,3

FORMULA

Binomial transform of A078008. - Paul Curtz (bpcrtz(AT)free.fr), Aug 04 2008

G.f.: (1-2x)/(1-3x). a(n)=A000244(n+1), n>0. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 11 2008

a(n)=Sum_{k, 0<=k<=n}A112467(n,k)*2^k = Sum_{k, 0<=k<=n}A071919(n,k)*2^k. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 13 2008]

MAPLE

with(finance):seq(ceil(futurevalue(3, 2, n)), n=-2..24); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 25 2009]

CROSSREFS

Sequence in context: A080557 A022014 A038002 this_sequence A140429 A141413 A000244

Adjacent sequences: A133491 A133492 A133493 this_sequence A133495 A133496 A133497

KEYWORD

nonn

AUTHOR

Paul Barry, Paul Curtz (pbarry(AT)wit.iebpcrtz(AT)free.fr), Dec 23 2007

EXTENSIONS

Definition clarified by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 11 2008

Added more terms. Mohammad K. Azarian (azarian(AT)evansville.edu), Dec 23 2008

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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