id:A101031 - OEIS Search Results

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Triangle read by rows: T(n,k) = (1/k) times the number of functions from an n-element set into but not onto a k-element set.

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0, 0, 1, 0, 1, 7, 0, 1, 15, 58, 0, 1, 31, 196, 601, 0, 1, 63, 634, 2765, 7656, 0, 1, 127, 1996, 12265, 44136, 116929, 0, 1, 255, 6178, 52925, 248016, 803383, 2092112, 0, 1, 511, 18916, 223801, 1362096, 5432161, 16595776, 43006401, 0, 1, 1023, 57514, 932525 (list; table; graph; listen)

	OFFSET	`0,6`
	FORMULA	`T(n, k) = (A089072(n, k)-A019538(n, k))/k (where the two sequences are indexed as triangular arrays).`
	EXAMPLE	`T(3,3) = (1/3)*[ #(functions into) - #(functions onto)] = (3^3 - 6)/3 = 7.`
	CROSSREFS	`Sequence in context: A061846 A121570 A153626 this_sequence A156960 A067840 A118858` `Adjacent sequences: A101028 A101029 A101030 this_sequence A101032 A101033 A101034`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Nov 26 2004`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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