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Search: a016643 -id:a016643
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Decimal expansion of log_20 (2).
+10
22
2, 3, 1, 3, 7, 8, 2, 1, 3, 1, 5, 9, 7, 5, 9, 1, 7, 4, 2, 6, 3, 6, 9, 7, 7, 0, 1, 0, 9, 7, 6, 4, 0, 4, 9, 5, 8, 9, 0, 9, 6, 5, 5, 0, 7, 3, 7, 3, 5, 6, 5, 8, 6, 1, 8, 3, 9, 6, 1, 7, 7, 9, 4, 1, 1, 3, 5, 2, 4, 5, 5, 4, 0, 3, 0, 1, 5, 8, 3, 8, 4, 7, 1, 3, 9, 6, 5, 5, 8, 4, 0, 4, 4, 7, 5, 3, 9, 2, 5
OFFSET
0,1
FORMULA
Equals A002162 / A016643 = 1/A155172. - R. J. Mathar, Aug 13 2024
EXAMPLE
.23137821315975917426369770109764049589096550737356586183961...
MATHEMATICA
RealDigits[Log[20, 2], 10, 100][[1]] (* Vincenzo Librandi, Sep 05 2013 *)
PROG
(PARI) log(2)/log(20) \\ Charles R Greathouse IV, Aug 06 2020
CROSSREFS
Cf. decimal expansion of log_20(m): this sequence, A153035 (m=3), A153124 (m=4), A153454 (m=5), A153610 (m=6), A153630 (m=7), A153872 (m=8), A154019 (m=9), A154170 (m=10), A154191 (m=11), A154212 (m=12), A154433 (m=13), A154492 (m=14), A154705 (m=15), A154838 (m=16), A154900 (m=17), A154976 (m=18), A155115 (m=19), A155687 (m=21), A155789 (m=22), A155907 (m=23), A156015 (m=24).
KEYWORD
nonn,cons
AUTHOR
N. J. A. Sloane, Oct 30 2009
STATUS
approved
Decimal expansion of log_20 (3).
+10
22
3, 6, 6, 7, 2, 5, 7, 9, 1, 3, 4, 2, 0, 8, 4, 6, 2, 8, 9, 1, 2, 8, 0, 7, 1, 4, 2, 6, 5, 9, 3, 3, 2, 6, 5, 3, 5, 9, 5, 7, 6, 8, 4, 3, 0, 9, 3, 2, 3, 3, 2, 0, 6, 8, 2, 8, 8, 9, 8, 7, 5, 7, 7, 2, 7, 4, 9, 4, 6, 6, 9, 6, 9, 3, 1, 5, 6, 9, 1, 0, 9, 3, 7, 8, 8, 0, 5, 9, 3, 7, 7, 8, 4, 4, 0, 6, 4, 1, 5
OFFSET
0,1
FORMULA
Equals A002391 / A016643 . - R. J. Mathar, Aug 13 2024
EXAMPLE
.36672579134208462891280714265933265359576843093233206828898...
MATHEMATICA
RealDigits[Log[20, 3], 10, 100][[1]] (* Vincenzo Librandi, Sep 05 2013 *)
CROSSREFS
Cf. decimal expansion of log_20(m): A152821 (m=2), this sequence, A153124 (m=4), A153454 (m=5), A153610 (m=6), A153630 (m=7), A153872 (m=8), A154019 (m=9), A154170 (m=10), A154191 (m=11), A154212 (m=12), A154433 (m=13), A154492 (m=14), A154705 (m=15), A154838 (m=16), A154900 (m=17), A154976 (m=18), A155115 (m=19), A155687 (m=21), A155789 (m=22), A155907 (m=23), A156015 (m=24).
KEYWORD
nonn,cons
AUTHOR
N. J. A. Sloane, Oct 30 2009
STATUS
approved
Decimal expansion of log_2 (20).
+10
18
4, 3, 2, 1, 9, 2, 8, 0, 9, 4, 8, 8, 7, 3, 6, 2, 3, 4, 7, 8, 7, 0, 3, 1, 9, 4, 2, 9, 4, 8, 9, 3, 9, 0, 1, 7, 5, 8, 6, 4, 8, 3, 1, 3, 9, 3, 0, 2, 4, 5, 8, 0, 6, 1, 2, 0, 5, 4, 7, 5, 6, 3, 9, 5, 8, 1, 5, 9, 3, 4, 7, 7, 6, 6, 0, 8, 6, 2, 5, 2, 1, 5, 8, 5, 0, 1, 3, 9, 7, 4, 3, 3, 5, 9, 3, 7, 0, 1, 5
OFFSET
1,1
COMMENTS
Equals 2 + A020858 = 1 + A020862 = A016643 / A002162. - Michel Marcus, Jul 28 2013
EXAMPLE
4.3219280948873623478703194294893901758648313930245806120547...
MATHEMATICA
RealDigits[Log[2, 20], 10, 100][[1]] (* Vincenzo Librandi, Aug 29 2013 *)
CROSSREFS
Cf. decimal expansion of log_2(m): A020857 (m=3), A020858 (m=5), A020859 (m=6), A020860 (m=7), A020861 (m=9), A020862 (m=10), A020863 (m=11), A020864 (m=12), A152590 (m=13), A154462 (m=14), A154540 (m=15), A154847 (m=17), A154905 (m=18), A154995 (m=19), this sequence, A155536 (m=21), A155693 (m=22), A155793 (m=23), A155921 (m=24).
KEYWORD
nonn,cons
AUTHOR
N. J. A. Sloane, Oct 30 2009
STATUS
approved
Continued fraction for log(20).
+10
2
2, 1, 233, 3, 6, 2, 1, 1, 2, 2, 2, 4, 8, 2, 2, 1, 27, 1, 6, 6, 2, 1, 4, 3, 1, 1, 1, 33, 2, 1, 2, 1, 1, 1, 3, 5, 3, 1, 3, 2, 2, 3, 7, 1, 2, 1, 4, 1, 5, 1, 2, 3, 4, 11, 2, 8, 2, 3, 5, 3, 1, 2, 1, 1, 2, 1, 5, 9, 1, 6, 7, 1, 6, 1, 3, 1, 47, 3, 1
OFFSET
1,1
LINKS
EXAMPLE
2.9957322735539909934352235... = 2 + 1/(1 + 1/(233 + 1/(3 + 1/(6 + ...)))). - Harry J. Smith, May 17 2009
MATHEMATICA
ContinuedFraction[Log[20], 100] (* Paolo Xausa, Mar 22 2024 *)
PROG
(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(log(20)); for (n=1, 20000, write("b016448.txt", n, " ", x[n])); } \\ Harry J. Smith, May 17 2009
CROSSREFS
Cf. A016643 Decimal expansion. - Harry J. Smith, May 17 2009
KEYWORD
nonn,cofr
STATUS
approved

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