A160166 Toothpick number A153006(n) minus generalized pentagonal number A001318(n).

0, 0, 1, 1, 2, 1, 5, 6, 7, 2, 4, 2, 6, 8, 23, 28, 29, 16, 14, 4, 4, -2, 9, 7, 9, -1, 9, 10, 31, 54, 103, 120, 121, 92, 82, 56, 48, 26, 29, 11, 5, -21, -19, -34, -21, -14, 27, 29, 27, -7, -9, -32, -23, -24

Offset

0,5

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..999

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

Formula

a(n) = A153006(n) - A001318(n).

Crossrefs

Cf. A001318, A139250, A153006, A153007, A159790, A160165.

Sequence in context: A249283 A176035 A190992 * A349617 A349616 A197683

Adjacent sequences: A160163 A160164 A160165 * A160167 A160168 A160169

Keyword

sign

Author

Omar E. Pol, May 23 2009

Extensions

a(11) corrected and more terms from Nathaniel Johnston, Mar 22 2011

Status

approved