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A037314
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Numbers n such that (sum of base 3 digits of n)=(sum of base 9 digits of n).
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8
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1, 2, 9, 10, 11, 18, 19, 20, 81, 82, 83, 90, 91, 92, 99, 100, 101, 162, 163, 164, 171, 172, 173, 180, 181, 182, 729, 730, 731, 738, 739, 740, 747, 748, 749, 810, 811, 812, 819, 820, 821, 828, 829, 830, 891, 892, 893, 900, 901, 902
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| a(n)=Sum{d(i)*9^i: i=0,1,...,m}, where Sum{d(i)*3^i: i=0,1,...,m} is the base 3 representation of n.
Numbers that can be written using only digits 0, 1 and 2 in base 9. Also, write n in base 3, read as base 9: (3) [n] (9) in base change notation. a(3n+k) = 9a(n)+k for k in {0,1,2}. - Frank Adams-Watters, Jul 24 2006
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FORMULA
| Let F(x) be the g.f., then F(x)*F(x^3)=1/(1-x). [Joerg Arndt, May 12 2010]
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CROSSREFS
| Cf. A007089.
Sequence in context: A167451 A135782 A037457 * A031443 A051017 A078180
Adjacent sequences: A037311 A037312 A037313 * A037315 A037316 A037317
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KEYWORD
| nonn,base
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion of Andrew Plewe, Jun 08 2007
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