id:A058183 - OEIS Search Results

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Number of digits of concatenation of first n positive integers.

+0
7

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(n) = A055642(A053064(n)). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 10 2008]`
	FORMULA	`a(n) =(n+1)*floor[log10(10n)]-(10^floor[log10(10n)]-1)/(10-1) =a(n-1)+floor[log10(10n)] =A055642(A007908(n))`
	EXAMPLE	`a(12)=15 since 123456789101112 has 15 digits`
	CROSSREFS	`Sequence in context: A061383 A059708 A071980 this_sequence A080676 A033061 A088380` `Adjacent sequences: A058180 A058181 A058182 this_sequence A058184 A058185 A058186`
	KEYWORD	`base,easy,nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Nov 17 2000`

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Last modified November 25 13:47 EST 2009. Contains 167481 sequences.

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