A118629 - OEIS

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A118629

Number of n-digit integers with decimal digits in increasing order.

10, 36, 84, 126, 126, 84, 36, 9, 1 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`There are precisely 512 such numbers, see A009993.`
	FORMULA	`a(1)=1, at n>1: a(n)=binomial(10, n)(1 - n/10)`
	EXAMPLE	`a(2)=36 because there are 36 two-digit integers whose decimal digits are in increasing order (see A009993): 12, 13, 14, 15, 16, 17, 18, 19, 23, 24, 25, 26, 27, 28, 29, 34, 35, 36, 37, 38, 39, 45, 46, 47, 48, 49, 56, 57, 58, 59, 67, 68, 69, 78, 79, 89`
	CROSSREFS	`Cf. A009993.` `Sequence in context: A073613 A072517 A033585 * A050509 A118415 A051959` `Adjacent sequences: A118626 A118627 A118628 * A118630 A118631 A118632`
	KEYWORD	`fini,full,nonn,base`
	AUTHOR	`Zak Seidov (zakseidov(AT)yahoo.com), May 09 2006`
	EXTENSIONS	`Edited by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Aug 05 2010`

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Last modified February 13 08:12 EST 2012. Contains 205451 sequences.