A242357 - OEIS

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A242357

Crescendo trapezoidal.

1, 1, 2, 2, 1, 1, 2, 3, 3, 3, 2, 1, 1, 2, 3, 4, 4, 4, 4, 3, 2, 1, 1, 2, 3, 4, 5, 5, 5, 5, 5, 4, 3, 2, 1, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,3`
	COMMENTS	`a(A000326(n)) = a(A143689(n-1)) = 1;` `for all n: a(k) = n, A104249(n-1) <= k <= A005448(n).`
	LINKS	`Reinhard Zumkeller, Table of n, a(n) for n = 1..1001`
	EXAMPLE	`. Initial values` `. seen trapezoidal: 666666` `. 55555 5......5` `. 4444 4.....4 4........4` `. 333 3....3 3.......3 3..........3` `. 22 2...2 2......2 2.........2 2............2` `. 1 1..1 1.....1 1........1 1...........1 1..............1 .`
	PROG	`(Haskell)` `import Data.List (inits)` `a242357 n = a242357_list !! (n-1)` `a242357_list = concatMap f $ tail $ inits [1..] where` `f us = (init us) ++ (take v [v, v ..]) ++ vs` `where (v:vs) = reverse us`
	CROSSREFS	`Cf. A004737.` `Sequence in context: A004739 A156282 A203776 * A120423 A113137 A220603` `Adjacent sequences: A242354 A242355 A242356 * A242358 A242359 A242360`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller, May 11 2014`
	STATUS	`approved`

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Last modified November 15 19:54 EST 2018. Contains 317240 sequences. (Running on oeis4.)