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 A216955 Triangle read by rows: T(n,k) (n>=1, 1<=k<=n) = number of binary sequences of length n and curling number k. 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 (list; table; graph; refs; listen; history; text; internal format)
 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 N. J. A. Sloane, Table of n, a(n) for n = 1..5460 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. Sequence in context: A049627 A278223 A134058 * A086973 A240131 A029640 Adjacent sequences:  A216952 A216953 A216954 * A216956 A216957 A216958 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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Last modified August 15 13:11 EDT 2020. Contains 336504 sequences. (Running on oeis4.)