id:A120437 - OEIS Search Results

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A120437

Differences of A037314 (sum of base 3 digits of n=sum of base 9 digits of n).

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1, 1, 7, 1, 1, 7, 1, 1, 61, 1, 1, 7, 1, 1, 7, 1, 1, 61, 1, 1, 7, 1, 1, 7, 1, 1, 547, 1, 1, 7, 1, 1, 7, 1, 1, 61, 1, 1, 7, 1, 1, 7, 1, 1, 61, 1, 1, 7, 1, 1, 7, 1, 1, 547, 1, 1, 7, 1, 1, 7, 1, 1, 61, 1, 1, 7, 1, 1, 7, 1, 1, 61, 1, 1, 7, 1, 1, 7, 1, 1 (list; graph; listen)

	OFFSET	`1,3`
	FORMULA	`It appears that the sequence is given by the following recursion: a(n)=1 if n=1, a(n)=9a(3^(k-1))-2 if n=3^k for some k>0, a(n)=a(n-3^(k-1)) if 3^(k-1)<n<3^k for some k>0. This recursion formula has been verified for n<=2000.` `a(n) = A066443(A007949(n)). (This is equivalent to the conjectured recursion above; that recursion is correct.) - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jul 24 2006`
	CROSSREFS	`Cf. A000695, A037314.` `Cf. A066443, A007949.` `Sequence in context: A102421 A019620 A105395 this_sequence A050179 A131065 A081580` `Adjacent sequences: A120434 A120435 A120436 this_sequence A120438 A120439 A120440`
	KEYWORD	`nonn`
	AUTHOR	`John W. Layman (layman(AT)math.vt.edu), Jul 17 2006`

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Last modified November 21 21:21 EST 2009. Contains 167310 sequences.

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