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A302342
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Cumulative sums of the bits in the binary representation of Pi.
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1
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1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 6, 7, 8, 9, 10, 10, 11, 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 19, 20, 20, 21, 21, 21, 21, 22, 23, 23, 23, 23, 23, 24, 24, 24, 24, 25, 26, 26, 27, 27, 27, 28, 29, 29, 29, 29
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OFFSET
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-1,2
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COMMENTS
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The leading binary bits of Pi are 11.0010010000111111011010101000100010000101101000110000100011010011000...
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LINKS
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FORMULA
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a(n) = sum of the bits with value 2^(-n) or larger.
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MATHEMATICA
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Accumulate[First[RealDigits[Pi, 2, 100]]] (* Paolo Xausa, Jul 31 2024 *)
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CROSSREFS
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A256108 is the sequence of -1 followed by those values of n for which a(n) is strictly greater than a(n-1).
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KEYWORD
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nonn,base,changed
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AUTHOR
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STATUS
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approved
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