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A022921 Number of 2^m between 3^n and 3^(n+1). +0
6
1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1 (list; graph; listen)
OFFSET

0,2

COMMENT

Represents increments between successive terms of allowable dropping times in the Collatz (3x+1) problem. i.e. a(n) = A020914(n+1) - A020914(n). [From K. Spage (kevspage2001(AT)yahoo.co.uk), Oct 23 2009]

FORMULA

(n+1)*log_2(3) - n*log_2(3).

MAPLE

Digits := 100: c1 := log(3.)/log(2.): A022921 := n->floor((n+1)*c1)-floor(n*c1);

CROSSREFS

cf. a(n) = A122437(n+2)-A122437(n+1)-1. [From K. Spage (kevspage2001(AT)yahoo.co.uk), Oct 23 2009]

Sequence in context: A094781 A023582 A023518 this_sequence A080763 A165413 A080573

Adjacent sequences: A022918 A022919 A022920 this_sequence A022922 A022923 A022924

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.


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