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A019569

Number of bar segments in a certain way of representing the integers graphically.

+0
1

0, 1, 2, 2, 3, 2, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 6, 6, 4, 4, 5, 6, 5, 5, 5, 4, 4, 5, 5, 3, 6, 5, 5, 5, 6, 4, 5, 5, 5, 6, 4, 6, 4, 5, 5, 5, 4 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`Let p(i) = i-th prime. Let n = Product_{i=1..s} p(k_i)^e_i with k_1 < k_2 < ... < k_s. The drawing of n=1 is a blank space. The drawing of n > 1 is arranged around a horizontal bar divided by s-1 scores into s segments. The scores and the bar divide the space above and below the bar into 2's compartments. In the i-th compartment above the bar place the drawing of e_i and in the i-th compartment below the bar place the drawing of k_i - k_{i-1}.`
	LINKS	`Tyler Pierce, A way of drawing natural numbers`
	FORMULA	`a(1) = 0; a(2) = 1; a(n) = 1 + Sum_{i=1..s} ( a(e_i) + a(k_i - k_{i-1}) ).`
	CROSSREFS	`Adjacent sequences: A019566 A019567 A019568 this_sequence A019570 A019571 A019572` `Sequence in context: A164996 A136510 A080071 this_sequence A003434 A097849 A100678`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)`

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Last modified November 9 12:23 EST 2009. Contains 166233 sequences.

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