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A153007 Triangular number A000217(n) minus toothpick number A153006(n). 6
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 (list; graph; refs; listen; history; text; internal format)
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: A244117 A263426 A278882 * A090683 A320825 A161552

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

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Last modified November 14 17:24 EST 2019. Contains 329126 sequences. (Running on oeis4.)