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A020714 5*2^n. +0
29
5, 10, 20, 40, 80, 160, 320, 640, 1280, 2560, 5120, 10240, 20480, 40960, 81920, 163840, 327680, 655360, 1310720, 2621440, 5242880, 10485760, 20971520, 41943040, 83886080, 167772160, 335544320, 671088640, 1342177280, 2684354560, 5368709120, 10737418240 (list; graph; listen)
OFFSET

0,1

COMMENT

Same as Pisot sequences E(5,10), L(5,10), P(5,10), T(5,10). See A008776 for definitions of Pisot sequences.

An autocopy sequence: its first differences are the sequence itself. - Alexandre Wajnberg & Eric Angelini (alexandre.wajnberg(AT)ulb.ac.be), Sep 07 2005

5 times powers of 2. [From Omar E. Pol (info(AT)polprimos.com), Dec 16 2008]

LINKS

Index entries for sequences related to linear recurrences with constant coefficients

Tanya Khovanova, Recursive Sequences

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 1003

FORMULA

a(n) = 5*2^n. a(n) = 2a(n-1).

G.F.: 5/(1-2*x)

If m is a term greater than 5 of this sequence then m=5*phi(phi(m)). - Farideh Firoozbakht (mymontain(AT)yahoo.com), Aug 16 2005

a(n) = A118416(n+1,3) for n>2. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 27 2006

a(n) = A000079(n)*5. [From Omar E. Pol (info(AT)polprimos.com), Dec 16 2008]

MAPLE

with(finance):seq(futurevalue(5, 1, n), n=0..31); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 24 2009]

MATHEMATICA

a[n_]:=5*2^n; [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 16 2008]

CROSSREFS

Row sums of (4, 1)-Pascal triangle A093561.

Row sums of (9, 1)-Pascal triangle A093644.

Row sums of (1, 4)-Pascal triangle A095666 (with leading 4).

Cf. A000079. [From Omar E. Pol (info(AT)polprimos.com), Dec 16 2008]

Sequence in context: A117518 A107486 A146523 this_sequence A102260 A023383 A092407

Adjacent sequences: A020711 A020712 A020713 this_sequence A020715 A020716 A020717

KEYWORD

nonn

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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