id:A056023 - OEIS Search Results

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Unique triangle such that (1) every positive integer occurs exactly once; (2) row n consists of n consecutive numbers; (3) odd-numbered rows are decreasing; and (4) even-numbered rows are increasing.

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1, 2, 3, 6, 5, 4, 7, 8, 9, 10, 15, 14, 13, 12, 11, 16, 17, 18, 19, 20, 21, 28, 27, 26, 25, 24, 23, 22, 29, 30, 31, 32, 33, 34, 35, 36, 45, 44, 43, 42, 41, 40, 39, 38, 37, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Self-inverse permutation of the natural numbers.` `T(2n-1,1)=A000217(2n-1)=T(2n,1)-1; T(2n,4n)=A000217(2n)=T(2n+1,4n+1)-1. - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Apr 25 2004`
	LINKS	`Index entries for sequences that are permutations of the natural numbers`
	FORMULA	`T(n, k) = (n^2 - (n - 2k)(-1)^(n mod 2)) / 2 + n mod 2. - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Apr 25 2004`
	CROSSREFS	`Sequence in context: A091556 A072298 A130686 this_sequence A133259 A120067 A089843` `Adjacent sequences: A056020 A056021 A056022 this_sequence A056024 A056025 A056026`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Aug 01 2000.`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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