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 A171170 Corner sequence (starting each round in the first quadrant). 1
 1, 2, 3, 4, 4, 1, 2, 1, 2, 3, 2, 3, 4, 3, 4, 1, 4, 1, 2, 1, 2, 3, 2, 3, 4, 3, 4, 1, 3, 4, 1, 4, 1, 2, 1, 2, 3, 4, 1, 2, 1, 2, 3, 2, 3, 4, 1, 2, 3, 2, 3, 4, 3, 4, 1, 2, 3, 4, 3, 4, 1, 4, 1, 2, 4, 1, 2, 1, 2, 3, 2, 3, 4, 3, 4, 1, 3, 4, 1, 4, 1, 2, 1, 2, 3, 4, 1, 2, 1, 2, 3, 2, 3, 4, 1, 2, 3, 2, 3, 4, 3, 4, 1, 2, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A161411, which is the main entry for this sequence. See also A171171 for another version. LINKS Table of n, a(n) for n=1..105. David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, Congressus Numerantium, Vol. 206 (2010), 157-191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n-1)-1) for n >= 2.] N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS EXAMPLE ================ .......41....... .......32....... ================ ......4141...... ......3..2...... ......4..1...... ......3232...... ================ .....41..41..... .....3....2..... ................ ................ .....4....1..... .....32..32..... ================ ....41414141.... ....3..23..2.... ....4......1.... ....32....32.... ....41....41.... ....3......2.... ....4..14..1.... ....32323232.... ================ ...41......41... ...3........2... ................ ................ ................ ................ ................ ................ ................ ...4........1... ...32......32... ================ And so on. Triangle begins: 1,2,3,4; 4,1,2, 1,2,3, 2,3,4, 3,4,1; 4,1,2, 1,2,3, 2,3,4, 3,4,1; 3,4,1,4,1,2,1,2,3, 4,1,2,1,2,3,2,3,4, 1,2,3,2,3,4,3,4,1, 2,3,4,3,4,1,4,1,2; 4,1,2, 1,2,3, 2,3,4, 3,4,1; 3,4,1,4,1,2,1,2,3, 4,1,2,1,2,3,2,3,4, 1,2,3,2,3,4,3,4,1, 2,3,4,3,4,1,4,1,2; Contribution from Omar E. Pol, Dec 09 2009: (Start) Illustration for n = 1..148 ================ .41..41..41..41. .341412..341412. ..3412....3412.. ..434141414121.. .43234123412321. .32.43414121.32. ....32341232.... ....41432141.... .41.34323212.41. .34143214321412. ..343232323212.. ..4321....4321.. .432321..432321. .32..32..32..32. ================ (End) CROSSREFS Cf. A139250, A139251, A160410, A161411, A171171. Sequence in context: A134581 A099587 A172160 * A256913 A346617 A160386 Adjacent sequences: A171167 A171168 A171169 * A171171 A171172 A171173 KEYWORD nonn,tabf AUTHOR Omar E. Pol, Dec 04 2009 STATUS approved

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Last modified May 20 10:58 EDT 2024. Contains 372712 sequences. (Running on oeis4.)