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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
29
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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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For generating functions Prod_{k>=0} (1+a*x^(b^k)) for the following values of (a,b) see: (1,2) A000012 and A000027, (1,3) A039966 and A005836, (1,4) A151666 and A000695, (1,5) A151667 and A033042, (2,2) A001316, (2,3) A151668, (2,4) A151669, (2,5) A151670, (3,2) A048883, (3,3) A117940, (3,4) A151665, (3,5) A151671, (4,2) A102376, (4,3) A151672, (4,4) A151673, (4,5) A151674.
Cf. A000695, A005836, A033043-A033052.
Row 5 of array A104257.
Sequence in context: A166591 A160529 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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