A072576 - OEIS

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A072576

Limit of number of compositions (unordered partitions) of m into distinct parts where largest part is exactly m-n, for m sufficiently large given n.

1, 2, 2, 8, 8, 14, 38, 44, 68, 98, 242, 272, 440, 590, 878, 1772, 2180, 3194, 4466, 6320, 8432, 16190, 19262, 28580, 38276, 54314, 70730, 99152, 163328, 204230, 286670, 386132, 527132, 695978, 941738, 1220984, 1950128, 2390294, 3321398, 4342148 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	LINKS	`Index entries for sequences related to compositions`
	FORMULA	`a(n) =Sum_k (k+1)!A060016(n, k) =Sum_k (k+1)A072574(n, k).`
	EXAMPLE	`a(3)=8 because for any m>6 the number of compositions of e.g. m=7 into distinct parts where the largest part is exactly m-3=7-3=4 is eight, since 7 can be written as 4+3 =4+2+1 =4+1+2 =3+4 =2+4+1 =2+1+4 =1+4+2 =1+2+4.`
	CROSSREFS	`Cf. A072575.` `Sequence in context: A138102 A151924 A058524 * A060818 A082887 A137583` `Adjacent sequences: A072573 A072574 A072575 * A072577 A072578 A072579`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Jun 21 2002`

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Last modified February 15 19:15 EST 2012. Contains 205852 sequences.