A153007 Triangular number A000217(n) minus toothpick number A153006(n).

0, 0, 0, 0, 1, 2, 1, 0, 3, 8, 11, 13, 15, 13, 5, 0, 7, 20, 31, 41, 51, 57, 57, 59, 69, 79, 82, 81, 74, 51, 17, 0, 15, 44, 71, 97, 123, 145, 161, 179, 205, 231, 250, 265, 274, 267, 249, 247, 273, 307, 334, 357, 374, 375, 364, 363, 376, 380, 364, 332, 270, 163, 49, 0, 31, 92, 151

Offset

0,6

Links

Table of n, a(n) for n=0..66.

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

OEIS (Plot 2), Triangular numbers (A000217) and toothpick numbers (A153006) vs n [From Omar E. Pol, Apr 29 2009]

Formula

a(n) = A000217(n)-A153006(n).

Crossrefs

Cf. A000217, A000225, A000396, A000668, A006516, A139250, A139251, A152980, A153006.

Sequence in context: A263426 A357103 A278882 * A090683 A356263 A320825

Adjacent sequences: A153004 A153005 A153006 * A153008 A153009 A153010

Keyword

nonn

Author

Omar E. Pol, Dec 19 2008, May 27 2009

Extensions

More terms from R. J. Mathar, Jul 13 2009

Status

approved