id:A050365 - OEIS Search Results

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Number of ways to write n as an identity mterm, where an identity mterm is an unordered sum which is either 2, or 1 + an unordered product of distinct identity mterms.

+0
3

1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 6, 6, 8, 9, 11, 11, 15, 15, 19, 21, 25, 25, 33, 33, 39, 42, 50, 50, 63, 63, 74, 78, 89, 91, 110, 110, 125, 131, 152, 152, 181, 181, 206, 217, 242, 242, 285, 286, 322, 333, 372, 372, 428, 432, 486, 501, 551, 551, 636, 636, 699, 724, 799 (list; graph; listen)

	OFFSET	`2,6`
	FORMULA	`Shifts left under transform T where Ta has Dirichlet g.f.: prod{n=1 to inf}(1+1/n^s)^a(n).`
	EXAMPLE	`The different ways of writing the numbers 2 through 7 as identity mterms are:` `2=2` `3=1+2` `4=1+(1+2)` `5=1+(1+1+2)` `6=1+(1+1+1+2)` `7=1+(1+1+1+1+2)=1+2*(1+2)`
	CROSSREFS	`Cf. A045778, A050318, A050319, A050366.` `Adjacent sequences: A050362 A050363 A050364 this_sequence A050366 A050367 A050368` `Sequence in context: A056039 A034322 A058747 this_sequence A029026 A003106 A025149`
	KEYWORD	`nonn,eigen`
	AUTHOR	`Christian G. Bower (bowerc(AT)usa.net), Oct 15 1999.`

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Last modified October 15 09:18 EDT 2008. Contains 145015 sequences.

AT&T Labs Research