id:A073188 - OEIS Search Results

Search: id:A073188

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n appears 1+[n/3] times.

+0
1

0, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`The PARI functions t1, t2 can be used to read a triangular array T(n,k) (n >= 0, 0 <= k <= floor(n/3)) by rows from left to right: n -> T(t1(n), t2(n)).` `a(A001840(k) + j) = A001840(k), 0<=j<A008620(k). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 01 2002`
	LINKS	`M. Somos, Sequences used for indexing triangular or square arrays`
	FORMULA	`[sqrt(6n+6)-3/2]`
	PROGRAM	`(PARI) a(n)=floor(sqrt(6n+6)-3/2)` `(PARI) t1(n)=floor(sqrt(6n+6)-3/2) /* A073188 /` `(PARI) t2(n)=(n-3binomial(1+t1(n)\3, 2))%(t1(n)\3+1) /* A073189 */`
	CROSSREFS	`Cf. A073189.` `Adjacent sequences: A073185 A073186 A073187 this_sequence A073189 A073190 A073191` `Sequence in context: A134995 A031247 A062575 this_sequence A047740 A137687 A024745`
	KEYWORD	`nonn`
	AUTHOR	`Michael Somos, Jul 19 2002`

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.

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