id:A080085 - OEIS Search Results

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Number of factors of 2 in the factorial of the n-th prime, counted with multiplicity.

+0
4

1, 1, 3, 4, 8, 10, 15, 16, 19, 25, 26, 34, 38, 39, 42, 49, 54, 56, 64, 67, 70, 74, 79, 85, 94, 97, 98, 102, 104, 109, 120, 128, 134, 135, 145, 146, 152, 159, 162, 168, 174, 176, 184, 190, 193, 194, 206, 216, 222, 224, 228, 232, 236, 244, 255, 259, 265, 266, 273, 277 (list; graph; listen)

	OFFSET	`1,3`
	FORMULA	`a(n) = sum_{k=1..L} floor( p_n /2^k ), where L = ln(p_n)/ln(2), where p_n is the n-th prime.`
	CROSSREFS	`Cf. A080084, A080086, A080087.` `Sequence in context: A075751 A065153 A030497 this_sequence A063414 A026494 A043306` `Adjacent sequences: A080082 A080083 A080084 this_sequence A080086 A080087 A080088`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Jan 26 2003`

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Last modified September 8 08:06 EDT 2008. Contains 143486 sequences.

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