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A166456
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Row sums of triangle A166455.
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2
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1, 2, 6, 12, 30, 60, 124, 248, 510, 1020, 2044, 4088, 8188, 16376, 32760, 65520, 131070, 262140, 524284, 1048568, 2097148, 4194296, 8388600, 16777200, 33554428, 67108856, 134217720, 268435440, 536870904, 1073741808, 2147483632, 4294967264, 8589934590, 17179869180
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listen;
history;
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internal format)
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OFFSET
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0,2
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LINKS
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FORMULA
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EXAMPLE
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a(3) = 12 = (1 + 5 + 5 + 1).
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MATHEMATICA
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a[n_] := 2^(n+1) - 2^DigitCount[n, 2, 1]; Array[a, 31, 0] (* Amiram Eldar, Aug 01 2023 *)
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PROG
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(Python)
a = 0
while n > 0:
a += n % 2
n //= 2
return a
print([A166456(n) for n in range(80)])
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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