id:A033831 - OEIS Search Results

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Number of d dividing n such that d>=3 and 1<=n/d<=d-2.

+0
10

0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 3, 1, 2, 2, 2, 1, 4, 1, 2, 2, 3, 1, 3, 1, 3, 2, 2, 2, 4, 1, 2, 2, 4, 1, 3, 1, 3, 3, 2, 1, 5, 1, 3, 2, 3, 1, 4, 2, 3, 2, 2, 1, 6, 1, 2, 3, 3, 2, 4, 1, 3, 2, 4, 1, 5, 1, 2, 3, 3, 2, 4, 1, 5, 2, 2, 1, 6, 2, 2, 2, 4, 1, 5, 2, 3, 2, 2, 2, 6, 1, 3, 3, 4, 1, 4, 1, 4, 4 (list; graph; listen)

	OFFSET	`1,8`
	FORMULA	`G.f.: Sum(x^(n^2+2*n)/(1-x^n),n = 1 .. infinity). - Vladeta Jovovic (vladeta(AT)Eunet.yu), May 13 2008`
	MAPLE	with(numtheory): for n from 1 to 200 do it := divisors(n): count := 0: for i from 1 to nops(it) do if it[i]>=3 and 1<=n/it[i] and n/it[i]<=(it[i]-2) then count := count+1 fi :od: printf(`%d, `, count) od:
	CROSSREFS	`Adjacent sequences: A033828 A033829 A033830 this_sequence A033832 A033833 A033834` `Sequence in context: A107459 A087976 A117277 this_sequence A033105 A106703 A127267`
	KEYWORD	`easy,nonn`
	AUTHOR	`Naohiro Nomoto (6284968128(AT)geocities.co.jp)`
	EXTENSIONS	`More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jun 20 2000`

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Last modified October 15 20:12 EDT 2008. Contains 145099 sequences.

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