7707：同じ数字の間にその数字と同じ数の数字がある...

問題7707・・・http://ddincrement.blog.shinobi.jp/未選択/giveup より 引用 Orz〜

4022個の数1，1，2，2，3，3，・・・，2011，2011をうまく一列に並べると、

1≦ｎ≦2011を満たす全ての自然数ｎに対して、2つのｎの間にはｎ個の数があるようにすることが出来るか。（mesler1021様）

解答

・わたしの…

312132,

23421314,

2534263541316,

まではできた…^^;v

10以上はないみたいなのね…

8のときってわかりますか…?

http://blogs.yahoo.co.jp/crazy_tombo/46965761.html

0を使っていいなら…

例の数列辞典に…以下のようなのが乗ってるのを見っけ ^^☆

A108116

Base 10 weak Skolem-Langford numbers.

+20 3

2002, 131003, 231213, 300131, 312132, 420024, 12132003, 14130043, 15120025, 23121300, 23421314, 25121005, 25320035, 30023121, 31213200, 31413004, 34003141, 40031413, 41312432, 45001415, 45121425, 45300435, 50012152, 51410054, 52002151, 52412154, 53002352, 53400354, 61310036 (list; graph; refs; listen; history; text; internal format)

	OFFSET	1,1
	COMMENTS	Self-describing numbers: between two digits "d" there are d digits. a(n) has either 0 or 2 instances of any digit, hence even number of digits. Largest element is a(20120) = 978416154798652002.
	REFERENCES	E. Angelini, "Jeux de suites", in Dossier Pour La Science, pp. 32-35, Volume 59 (Jeux math'), April/June 2008, Paris.
	LINKS	D. Wilson, Complete table of n, a(n) for n = 1..20120
	EXAMPLE	In "2002" there are 2 digits between the two 2's and 0 digits between the two 0's; in "131003" there is 1 digit between the two 1's, 3 digits between the two 3's and 0 digit between the two 0's.
	CROSSREFS	Base 10 strong Skolem-Langford numbers are in A132291.