id:A077267 - OEIS Search Results

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Number of zeros in base 3 expansion of n.

+0
6

0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 3, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 3, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 4, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 2, 2, 1, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 2 (list; graph; listen)

	OFFSET	`1,9`
	FORMULA	`a(1)=a(2)=0; a(3n)=a(n)+1; a(3n+1)=a(3n+2)=a(n). a(3^n-2)=a(3^n-1)=0; a(3^n)=n. a(n)=A077266(n, 3).` `G.f.: (Sum_{k>=0} x^(3^(k+1))/(1+x^(3^k)+x^(2*3^k)))/(1-x). - Franklin T. Adams-Watters, Nov 03 2005`
	EXAMPLE	`a(8)=0 since 8 written in base 3 is 22 with 0 zeros; a(9)=2 since 9 written in base 3 is 100 with 2 zeros; a(10)=1 since 10 written in base 3 is 101 with 1 zero.`
	MATHEMATICA	`Table[Count[IntegerDigits[n, 3], 0], {n, 0, 6!}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 25 2009]`
	CROSSREFS	`Cf. A023416, A077266, A062756, A081602.` `Sequence in context: A142475 A051556 A081602 this_sequence A134022 A085975 A005091` `Adjacent sequences: A077264 A077265 A077266 this_sequence A077268 A077269 A077270`
	KEYWORD	`base,nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Nov 01 2002`

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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.

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