id:A081611 - OEIS Search Results

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Number of numbers <= n having no 2 in their ternary representation.

+0
6

1, 2, 2, 3, 4, 4, 4, 4, 4, 5, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 10, 11, 12, 12, 12, 12, 12, 13, 14, 14, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`a(n) + A081610(n) = n+1.`
	FORMULA	`G.f. A(x) satisfies A(x)=(1+x)(1+x+x^2)A(x^3). - Michael Somos Aug 31 2006` `G.f.: (1/(1-x))Product{k>=0} 1+x^(3^k). - Michael Somos Aug 31 2006` `a(n)=a(n-1)+A039966(n). - Michael Somos Aug 31 2006`
	PROGRAM	`(PARI) {a(n)=local(A, m); if(n<0, 0, m=1; A=1+O(x); while(m<=n, m=3; A=(1+x)(1+x+x^2)subst(A, x, x^3)); polcoeff(A, n))} / Michael Somos Aug 31 2006 */`
	CROSSREFS	`Cf. A007089, A081603, A081608, A061392.` `Sequence in context: A095395 A029134 A029130 this_sequence A081228 A003002 A087180` `Adjacent sequences: A081608 A081609 A081610 this_sequence A081612 A081613 A081614`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Mar 23 2003`

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.

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