id:A117869 - OEIS Search Results

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Partial sums of floor(e^n).

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1, 3, 10, 30, 84, 232, 635, 1731, 4711, 12814, 34840, 94714, 257468, 699881, 1902485, 5171502, 14057612, 38212564, 103872533, 282354833, 767520028, 2086335762, 5671248608, 15416052054, 41905174183, 113910073520, 309639682948 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Primes in the sequence include a(1) = 3, a(19) = 282354833, no more through a(100) = 42525387036892760775526906833352845657512183.`
	FORMULA	`a(n) = SUM[i=0..n] A000149(i). a(n) = SUM[i=0..n] floor(e^i).`
	CROSSREFS	`Cf. A000149.` `Sequence in context: A026990 A027256 A115515 this_sequence A092756 A027205 A026937` `Adjacent sequences: A117866 A117867 A117868 this_sequence A117870 A117871 A117872`
	KEYWORD	`easy,nonn`
	AUTHOR	`Jonathan Vos Post (jvospost2(AT)yahoo.com), May 02 2006`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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