A171173 Triangle read by rows in which row n lists A033627(n) together with the first 2n-1 positive integers.

2, 1, 4, 1, 2, 3, 7, 1, 2, 3, 4, 5, 10, 1, 2, 3, 4, 5, 6, 7, 13, 1, 2, 3, 4, 5, 6, 7, 8, 9, 16, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 19, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 22, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 28, 1

Offset

1,1

Comments

The same as A171172 except the initial term.

Also, a(n) is the length of each component of the n-th L-toothpick added to the structure of A171165.

See also A171175, a permutation of the natural numbers.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..10000

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

Index entries for sequences related to toothpick sequences

Example

Triangle begins:
2,1,
4,1,2,3,
7,1,2,3,4,5,
10,1,2,3,4,5,6,7,
13,1,2,3,4,5,6,7,8,9,
16,1,2,3,4,5,6,7,8,9,10,11,
19,1,2,3,4,5,6,7,8,9,10,11,12,13,
22,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,

Mathematica

Join[{2, 1}, Flatten[Table[Flatten[{3n+1, Range[2n+1]}], {n, 10}]]] (* Harvey P. Dale, Nov 24 2011 *)

Crossrefs

Cf. A000027, A033627, A172310, A171164, A161165, A161166, A171172, A171174, A171175, A171176, A171177, A171178.

Sequence in context: A083414 A334890 A171174 * A268671 A163618 A341691

Adjacent sequences: A171170 A171171 A171172 * A171174 A171175 A171176

Keyword

easy,nonn,tabf

Author

Omar E. Pol, Feb 23 2010

Status

approved