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Search: a217943 -id:a217943
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Triangle read by rows: T(n,k) (n>=1, 1<=k<=n) = number of binary sequences of length n and curling number k.
+10
21
2, 2, 2, 4, 2, 2, 6, 6, 2, 2, 12, 12, 4, 2, 2, 20, 26, 10, 4, 2, 2, 40, 52, 20, 8, 4, 2, 2, 74, 110, 38, 18, 8, 4, 2, 2, 148, 214, 82, 36, 16, 8, 4, 2, 2, 286, 438, 164, 70, 34, 16, 8, 4, 2, 2, 572, 876, 328, 140, 68, 32, 16, 8, 4, 2, 2, 1124, 1762, 660, 286, 134, 66, 32, 16, 8, 4, 2, 2, 2248, 3524, 1320, 572, 268, 132, 64, 32, 16, 8, 4, 2, 2
OFFSET
1,1
COMMENTS
For definition of curling number see A216730.
"Binary" sequence means two-valued. It doesn't matter if the alphabet is {0,1} or {2,3}.
It appears that reversed rows converge to the sequence formed by the even terms of A090129. - Omar E. Pol, Nov 20 2012
LINKS
Benjamin Chaffin, John P. Linderman, N. J. A. Sloane and Allan Wilks, First 104 rows of A216955
B. Chaffin, J. P. Linderman, N. J. A. Sloane and Allan Wilks, On Curling Numbers of Integer Sequences, arXiv:1212.6102, Dec 25 2012.
B. Chaffin, J. P. Linderman, N. J. A. Sloane and Allan Wilks, On Curling Numbers of Integer Sequences, Journal of Integer Sequences, Vol. 16 (2013), Article 13.4.3.
EXAMPLE
Triangle begins:
2,
2, 2,
4, 2, 2,
6, 6, 2, 2,
12, 12, 4, 2, 2,
20, 26, 10, 4, 2, 2,
40, 52, 20, 8, 4, 2, 2,
74, 110, 38, 18, 8, 4, 2, 2,
148, 214, 82, 36, 16, 8, 4, 2, 2,
286, 438, 164, 70, 34, 16, 8, 4, 2, 2,
...
CROSSREFS
Leading columns are A122536 (or A093371), A217211, A217212. Cf. A216956, A217943.
KEYWORD
nonn,tabl
AUTHOR
N. J. A. Sloane, Sep 26 2012
EXTENSIONS
Extended to 104 rows by N. J. A. Sloane, Nov 15 2012
STATUS
approved

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