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Search: id:A091629
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A091629 Product of digits associated with A091628. Essentially the same as A007283. +0
6
6, 12, 24, 48, 96, 192, 384, 768, 1536, 3072, 6144, 12288, 24576, 49152, 98304, 196608, 393216, 786432, 1572864, 3145728, 6291456, 12582912, 25165824, 50331648, 100663296, 201326592, 402653184, 805306368, 1610612736, 3221225472 (list; graph; listen)
OFFSET

1,1

COMMENT

Sequence arising in Faride Firoozbakht's solution to Prime Puzzle 251 - 23 is only pointer prime (A089823) not containing digit "1".

The monotonic increasing value of successive product of digits strongly suggests that in successive n the digit 1 must be present.

LINKS

Index entries for sequences related to linear recurrences with constant coefficients

Tanya Khovanova, Recursive Sequences

Carlos Rivera's Prime Puzzles and Problems Connection, Puzzle 251, Pointer primes

FORMULA

a(n) = 2^n*3 = product of digits of A091628(n).

a(n)=6*2^(n-1) . a(n)=2*a(n-1), n>1, a(1)=6 . G.f.: 6x/(1-2x). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 23 2008]

EXAMPLE

a(1) = 2*3 = 6.

CROSSREFS

Cf. A089823, A091628, A091630, A091631, A091632.

Similar to A003945, A007283, A042950, A058764, A087009.

Sequence in context: A090765 A160728 A082505 this_sequence A089529 A001766 A110959

Adjacent sequences: A091626 A091627 A091628 this_sequence A091630 A091631 A091632

KEYWORD

base,easy,nonn

AUTHOR

Enoch Haga (Enokh(AT)comcast.net), Jan 24 2004

EXTENSIONS

Edited and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Feb 07 2004

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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