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A081857 Jacobsthal sequence (A001045) as represented in base 4. +0
3
0, 1, 1, 3, 11, 23, 111, 223, 1111, 2223, 11111, 22223, 111111, 222223, 1111111, 2222223, 11111111, 22222223, 111111111, 222222223, 1111111111, 2222222223, 11111111111, 22222222223, 111111111111, 222222222223, 1111111111111 (list; graph; listen)
OFFSET

0,4

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

FORMULA

For n > 0, a(2n) is represented as a string of n 1's and a(2n+1) as a string of (n-1) 2's followed by a 3.

EXAMPLE

a(8)= 1111 because A001045(8)= 85 (in base 10) = 64 + 16 + 4 + 1 = 1 * (4^3) + 1 * (4^2) + 1 * (4^1) + 1.

CROSSREFS

Cf. A002450.

Sequence in context: A158034 A002515 A096297 this_sequence A120088 A081737 A005475

Adjacent sequences: A081854 A081855 A081856 this_sequence A081858 A081859 A081860

KEYWORD

base,easy,nonn

AUTHOR

Matthew Vandermast (ghodges14(AT)comcast.net), Apr 11 2003

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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