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Search: a238270 -id:a238270
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Decimal expansion of sum(n>=1, mu(n)/3^n ).
+10
5
1, 8, 1, 9, 9, 5, 3, 8, 6, 7, 0, 2, 6, 3, 3, 8, 8, 7, 8, 2, 7, 8, 0, 0, 1, 0, 0, 3, 0, 0, 5, 6, 5, 5, 7, 3, 2, 2, 6, 3, 4, 4, 9, 8, 0, 1, 3, 5, 3, 8, 3, 0, 6, 1, 7, 5, 9, 2, 4, 9, 4, 7, 7, 1, 6, 3, 2, 4, 2, 0, 4, 8, 3, 6, 8, 5, 0, 5, 4, 1, 6, 4, 2, 2, 8, 9, 8, 3, 9, 5, 7, 7, 6, 4, 9, 2, 3, 9, 9, 0, 2, 6, 9, 9, 4
CROSSREFS
a(n) = Sum_{k=1..n} mu(k) * 2^(n - k).
+10
5
0, 1, 1, 1, 2, 3, 7, 13, 26, 52, 105, 209, 418, 835, 1671, 3343, 6686, 13371, 26742, 53483, 106966, 213933, 427867, 855733, 1711466, 3422932, 6845865, 13691730, 27383460, 54766919, 109533837, 219067673, 438135346, 876270693, 1752541387, 3505082775, 7010165550
FORMULA
a(n) ~ A238270 * 2^n. - Vaclav Kotesovec, May 19 2021
CROSSREFS
Decimal expansion of Sum_{n>=1} moebius(n)*(1/10)^n.
+10
4
0, 8, 8, 9, 9, 0, 9, 0, 0, 0, 8, 9, 9, 1, 0, 9, 8, 9, 9, 0, 1, 0, 9, 0, 0, 0, 9, 9, 8, 8, 9, 0, 1, 1, 0, 9, 9, 1, 0, 9, 8, 8, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 1, 0, 1, 0, 8, 9, 9, 1, 0, 0, 0, 8, 9, 0, 0, 8, 8, 9, 9, 1, 0, 0, 0, 8, 9, 0, 0, 0, 9, 0, 1, 1, 0, 9, 9
CROSSREFS
Decimal expansion of the sum(n>=1, mu(n)/n^n ) where mu is the Moebius function.
+10
3
7, 1, 2, 6, 6, 3, 1, 8, 2, 2, 6, 4, 2, 8, 3, 4, 5, 7, 1, 2, 1, 6, 0, 4, 1, 6, 8, 3, 2, 1, 8, 6, 1, 2, 5, 0, 6, 0, 5, 3, 0, 7, 0, 2, 1, 7, 4, 7, 1, 6, 1, 3, 6, 9, 0, 7, 0, 3, 5, 0, 5, 0, 6, 3, 2, 9, 5, 5, 5, 6, 6, 1, 2, 1, 0, 4, 4, 7, 0, 6, 1, 4, 3, 6, 4, 1, 1, 4, 6, 2, 7, 0, 5, 9, 4, 3, 6, 2, 7, 6, 2, 1, 6, 0, 8
CROSSREFS

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