id:A060388 - OEIS Search Results

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Decimal expansion of alpha(2) = Sum_{i>0}ithprime(i)*2^(-i^2).

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1, 1, 9, 7, 3, 7, 2, 7, 6, 4, 5, 3, 8, 1, 8, 8, 8, 6, 1, 7, 1, 3, 4, 7, 7, 9, 5, 4, 2, 0, 5, 3, 7, 8, 1, 9, 7, 8, 1, 9, 0, 2, 8, 2, 1, 3, 9, 9, 0, 3, 7, 2, 1, 9, 0, 1, 3, 0, 7, 7, 2, 4, 5, 1, 4, 0, 3, 0, 3, 6, 4, 7, 6, 9, 4, 0, 3, 4, 2, 6, 7, 9, 0, 9, 2, 1, 2, 7, 5, 4, 9, 1, 4, 4, 3, 1, 4, 1, 0, 4, 3, 1, 1, 2, 2 (list; cons; graph; listen)

	OFFSET	`1,3`
	COMMENT	`ithprime(n) = floor(2^(n^2)alpha(2))-2^(2n-1)floor(2^((n-1)^2)alpha(2)). For n = 6 we have ithprime(6) = floor(2^36alpha(2))-2^11floor(2^25alpha(2)) = 82282829837-204840177163 = 13.`
	REFERENCES	`G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, Clarendon Press, Oxford, 1979, page 345.`
	EXAMPLE	`alpha(2) = 1.19737276453818886171347795420537819781902821399037219013077245140303647694034267909212754914431410431122998171762351103482006076264716653454638...`
	CROSSREFS	`Sequence in context: A002205 A033873 A135449 this_sequence A081821 A105532 A111471` `Adjacent sequences: A060385 A060386 A060387 this_sequence A060389 A060390 A060391`
	KEYWORD	`nonn,cons`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)Eunet.yu), Apr 03 2001`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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