id:A081564 - OEIS Search Results

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Decimal expansion of sum(1/(2^q-1)) with the summation extending over all pairs of integers (p,q)=1 0<p/q<sqrt(2).

+0
3

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

	OFFSET	`1,2`
	LINKS	`Kevin O'Bryant, A generating function technique for Beatty sequences and other step sequences`
	FORMULA	`This sum is also equal to sum(k>=1, (1/2)^floor(k/sqrt(2))=1.5809603817....`
	CROSSREFS	`Sequence in context: A153420 A141848 A140249 this_sequence A020797 A154856 A021176` `Adjacent sequences: A081561 A081562 A081563 this_sequence A081565 A081566 A081567`
	KEYWORD	`cons,nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 21 2003`

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.

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