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Search: id:A110883
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| A110883 |
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Sum of consecutive digits in the decimal expansion of Pi. |
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+0
1
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| 4, 5, 5, 6, 14, 11, 8, 11, 8, 8, 13, 17, 16, 16, 12, 5, 5, 11, 12, 10, 8, 8, 10, 7, 6, 11, 11, 5, 9, 16, 14, 5, 2, 10, 16, 12, 5, 10, 16, 8, 7, 15, 12, 12, 18, 12, 10, 12, 6, 1, 5, 13, 10, 2, 9, 16, 11, 13, 13, 8, 9, 14, 11, 5, 3, 7, 15, 9, 7, 10, 4, 6, 8, 10, 14, 8, 2, 8, 17, 18, 17, 14, 8
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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B. Deal, Sequence puzzle posting at Clifford Pickover forum.
B. Deal, Home Page.
A. Frank & P. Jacqueroux, International Contest, 2001. Item 25
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FORMULA
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a(n) = p(n)+p(n+1) where f(n) is the n-th digit of pi (see sequence A000796). p(1)=3, p(2)=1, p(3)=4, p(4)=1, etc.
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EXAMPLE
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a(1)=3+1 = 4, a(2)=1+4 = 5, a(3)=4+1 = 5, a(4)=1+5 = 6, a(5)=5+9 = 14
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MATHEMATICA
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listlength = 100; Table[IntegerDigits[IntegerPart[10^listlength Pi]][[i]] + IntegerDigits[IntegerPart[10^listlength (Pi - 3.0`100)]][[i]], {i, 1, listlength}]
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CROSSREFS
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Cf. A000796 a(n) = A000796(n)+A000796(n+1).
Sequence in context: A061508 A120189 A028276 this_sequence A071570 A082448 A070783
Adjacent sequences: A110880 A110881 A110882 this_sequence A110884 A110885 A110886
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KEYWORD
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base,nonn
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AUTHOR
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Blaine J. Deal and Mark Nandor, Sep 19 2005
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