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Search: id:A033042
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| A033042 |
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Numbers whose set of base 5 digits is {0,1}. |
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+0 14
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| 0, 1, 5, 6, 25, 26, 30, 31, 125, 126, 130, 131, 150, 151, 155, 156, 625, 626, 630, 631, 650, 651, 655, 656, 750, 751, 755, 756, 775, 776, 780, 781, 3125, 3126, 3130, 3131, 3150, 3151, 3155, 3156, 3250, 3251, 3255, 3256, 3275, 3276, 3280, 3281, 3750, 3751
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Sums of distinct powers of 5.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..1023
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FORMULA
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a(n)=Sum{d(i)*5^i: i=0, 1, ..., m}, where Sum{d(i)*2^i: i=0, 1, ..., m} is the base 2 representation of n.
n such that the coefficient of x^n is > 0 in prod (k>=0, 1+x^(5^k)) - Benoit Cloitre (benoit7848c(AT)orange.fr), Jul 29 2003
a(n) = A097251(n)/4.
a(2n) = 5*a(n), a(2n+1) = a(2n)+1.
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CROSSREFS
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Cf. A000695, A005836, A033043-A033052.
Row 5 of array A104257.
Sequence in context: A042283 A047186 A039572 this_sequence A039594 A137080 A064827
Adjacent sequences: A033039 A033040 A033041 this_sequence A033043 A033044 A033045
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KEYWORD
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nonn,base
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Aug 3 2004
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