id:A156060 - OEIS Search Results

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Jacobsthal numbers A001045 mod 9.

+0
2

0, 1, 1, 3, 5, 2, 3, 7, 4, 0, 8, 8, 6, 4, 7, 6, 2, 5, 0, 1, 1, 3, 5, 2, 3, 7, 4, 0, 8, 8, 6, 4, 7, 6, 2, 5, 0, 1, 1, 3, 5, 2, 3, 7, 4, 0, 8, 8, 6, 4, 7, 6, 2, 5, 0, 1, 1, 3, 5, 2, 3, 7, 4, 0, 8, 8, 6, 4, 7, 6, 2, 5, 0, 1, 1, 3, 5, 2, 3, 7, 4, 0, 8, 8, 6, 4, 7, 6, 2, 5, 0, 1, 1, 3, 5, 2, 3, 7, 4, 0, 8, 8, 6, 4, 7 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`Period length 18. [Proof from A001045(n)=87381A001045(n-17)+87382A001045(n-18), where 87381 == 0 (mod 9) and 87382 == 1 (mod 9).] [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 06 2009]`
	FORMULA	`a(n)=(1/306){93(n mod 18)-43[(n+1) mod 18]+76[(n+2) mod 18]+25[(n+3) mod 18]-43[(n+4) mod 18]+42[(n+5) mod 18]+42[(n+6) mod 18]+8[(n+7) mod 18]-128[(n+8) mod 18]+76[(n+9) mod 18]+59[(n+10) mod 18]-60[(n+11) mod 18]-9[(n+12) mod 18]+59[(n+13) mod 18]-26[(n+14) mod 18]-26[(n+15) mod 18]+8[(n+16) mod 18]-9*[(n+17) mod 18]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 12 2009]`
	CROSSREFS	`Cf. A001045. [From Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Feb 06 2009]` `Sequence in context: A059246 A091276 A076562 this_sequence A113475 A104807 A131793` `Adjacent sequences: A156057 A156058 A156059 this_sequence A156061 A156062 A156063`
	KEYWORD	`nonn,easy,new`
	AUTHOR	`Paul Curtz (bpcrtz(AT)free.fr), Feb 03 2009`
	EXTENSIONS	`Extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl) and Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Feb 06 2009`

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.

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