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Search: id:A074939
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| A074939 |
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Even numbers such that base 3 representation contains no 2. |
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+0
5
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| 0, 4, 10, 12, 28, 30, 36, 40, 82, 84, 90, 94, 108, 112, 118, 120, 244, 246, 252, 256, 270, 274, 280, 282, 324, 328, 334, 336, 352, 354, 360, 364, 730, 732, 738, 742, 756, 760, 766, 768, 810, 814, 820, 822, 838, 840, 846, 850, 972, 976, 982, 984, 1000, 1002
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Even numbers in A005836; n such that binomial(2n,n)==1 (mod 3)
Sum of an even number of distinct powers of 3. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 03 2003
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LINKS
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E. Deutsch and B. E. Sagan, Congruences for Catalan and Motzkin numbers and related sequences, J. Num. Theory 117 (2006), 191-215.
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FORMULA
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a(n)=A083094(n)/2; a(n) (mod 3) = A010060(n); n such that coefficient of x^n equals 1 in prod(k>=0, 1-x^(3^k))
a(n) + A074938(n) = A055246(n+1) . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jul 10 2005
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CROSSREFS
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Cf. A006996, A074938, A083095.
Sequence in context: A138628 A050868 A007319 this_sequence A038464 A125966 A043001
Adjacent sequences: A074936 A074937 A074938 this_sequence A074940 A074941 A074942
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KEYWORD
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easy,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 04 2002; Nov 15 2003
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