id:A128446 - OEIS Search Results

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Quotients A122000(p-1) / (2^p - 1), where p = Prime[n] for n>1.

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1, 882850585445281, 28084773172609134470952326813135521948919663474715912134590894817085103016117634\ 792155856629828598766188378241 (list; graph; listen)

	OFFSET	`2,2`
	COMMENT	`A014566[n] = n^n + 1 is Sierpinski Number of the First Kind. A014566[2^n - 1] is divisible by 2^n. A122000(n) = ((2^n - 1)^(2^n - 1) + 1) / 2^n = A014566[2^n - 1] / 2^n = A081216[2^n - 1].`
	LINKS	`Eric Weisstein, Link to a section of The World of Mathematics. Sierpinski Number of the First Kind.`
	FORMULA	`a(n) = ((2^(Prime[n]-1)-1)^(2^(Prime[n]-1)-1) + 1)/2^(Prime[n]-1)/(2^Prime[n]-1)`
	CROSSREFS	`Cf. A122000, A014566, A081216, A056009.` `Sequence in context: A159042 A129935 A104835 this_sequence A052098 A095431 A072719` `Adjacent sequences: A128443 A128444 A128445 this_sequence A128447 A128448 A128449`
	KEYWORD	`bref,nonn`
	AUTHOR	`Alexander Adamchuk (alex(AT)kolmogorov.com), Mar 03 2007`

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Last modified December 19 21:04 EST 2009. Contains 171054 sequences.

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