Digit Block

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Let be the number of digit blocks of a sequence in the base- expansion of . The following table gives the sequence ${u_(B)(n)}$ for a number of blocks .

	OEIS	for , 2, ...
00	A056973	0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 3, ...
01	A037800	0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, ...
10	A033264	0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, ...
11	A014081	0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 3, 0, ...
000	A056974	0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, ...
001	A056975	0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, ...
010	A056976	0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, ...
011	A056977	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, ...
100	A056978	0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, ...
101	A056979	0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, ...
110	A056980	0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, ...
111	A014082	0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, ...

See also

Digit Sum, Rudin-Shapiro Sequence

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References

Sloane, N. J. A. Sequences A014081, A014082, A033264, A037800, A056973, A056974, A056975, A056976, A056977, A056978, A056979, and A056980 in "The On-Line Encyclopedia of Integer Sequences."

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Cite this as:

Weisstein, Eric W. "Digit Block." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DigitBlock.html

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