A173451 a(n) = A048883(n-1) - A160121(n).

0, 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 6, -6, 6, 0, 30, -24, 0, 0, 6, -6, 6, 0, 30, -24, 6, 0, 30, -24, 24, 12, 126, -78, -12, 0, 6, -6, 6, 0, 30, -24, 6, 0, 30, -24, 24, 12, 126, -78, -6, 0, 30, -24, 24, 6, 114, -90, 6, 12, 126, -54, 102, 72, 450, -228, -60, 0, 6, -6, 6, 0

Offset

1,8

Comments

It appears that the absolute value of a(n) is a multiple of 6, see A008588. - Omar E. Pol, Dec 06 2013

Links

Table of n, a(n) for n=1..71.

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

Index entries for sequences related to toothpick sequences

Example

From Omar E. Pol, Dec 06 2013: (Start)
Written as an irregular triangle in which row lengths is A011782 the sequence begins:
.    0;
.    0;
.    0,  0;
.    0,  0,0,6;
.   -6,  0,0,6,-6,6,0,30;
.  -24,  0,0,6,-6,6,0,30,-24,6,0,30,-24,24,12,126;
.  -78,-12,0,6,-6,6,0,30,-24,6,0,30,-24,24,12,126,-78,-6,0,30,-24,24,6,114,-90,6,12,126,-54,102,72,450;
. -228,-60,0,6,-6,6,0...
(End)

Crossrefs

Cf. A011782, A048883, A139250, A139251, A160120, A160121, A151710, A173066, A173067, A173068, A173452, A173453.

Sequence in context: A020845 A238291 A028971 * A318537 A006806 A002892

Adjacent sequences: A173448 A173449 A173450 * A173452 A173453 A173454

Keyword

sign,tabf

Author

Omar E. Pol, May 29 2010

Extensions

More terms from Nathaniel Johnston, Nov 15 2010

Status

approved