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Search: id:A036571
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| A036571 |
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Binary packing of Connell sequence (shifted once right). |
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+0
3
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| 0, 1, 3, 11, 27, 91, 347, 859, 2907, 11099, 43867, 109403, 371547, 1420123, 5614427, 22391643, 55946075, 190163803, 727034715, 2874518363, 11464452955, 45824191323, 114543668059, 389421575003
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OFFSET
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0,3
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COMMENT
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Binary representation of n has 1's at positions specified by Connell sequence (A001614).
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FORMULA
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a(0)=0, a(n) = a(n-1)+(2^((2*n - floor((1/2)*(1+sqrt(8*n - 7))))-1))
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EXAMPLE
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347=101011011 in binary, with 1's at positions 1,2,4,5,7,9.
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CROSSREFS
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A001614, A048721, A048722.
Sequence in context: A059400 A077776 A113836 this_sequence A003060 A136983 A119074
Adjacent sequences: A036568 A036569 A036570 this_sequence A036572 A036573 A036574
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KEYWORD
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nonn
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AUTHOR
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Antti Karttunen
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